256253488 has 40 divisors (see below), whose sum is σ = 522252288. Its totient is φ = 121568832.

The previous prime is 256253479. The next prime is 256253489. The reversal of 256253488 is 884352652.

256253488 = 1357² + 1358² + ... + 1483².

It is a super-2 number, since 2×256253488² = 131331700224332288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (256253489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43995 + ... + 49477.

Almost surely, 2^256253488 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 256253488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261126144).

256253488 is an abundant number, since it is smaller than the sum of its proper divisors (265998800).

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

256253488 is a wasteful number, since it uses less digits than its factorization.

256253488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5635 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The square root of 256253488 is about 16007.9195400277. The cubic root of 256253488 is about 635.1699282758.

The spelling of 256253488 in words is "two hundred fifty-six million, two hundred fifty-three thousand, four hundred eighty-eight".