1488 has 20 divisors (see below), whose sum is σ = 3968. Its totient is φ = 480.

The previous prime is 1487. The next prime is 1489. The reversal of 1488 is 8841.

1488 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (1487) and next prime (1489).

1488 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10 and base 11.

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1488.

It is not an unprimeable number, because it can be changed into a prime (1481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 63.

2^{1488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984).

1488 is an abundant number, since it is smaller than the sum of its proper divisors (2480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1488 is a wasteful number, since it uses less digits than its factorization.

1488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1488 is about 38.5746030440. The cubic root of 1488 is about 11.4165349468.

The spelling of 1488 in words is "one thousand, four hundred eighty-eight".

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