256232480 has 96 divisors (see below), whose sum is σ = 728300160. Its totient is φ = 83220480.

The previous prime is 256232477. The next prime is 256232491. The reversal of 256232480 is 84232652.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15260 + ... + 27300.

It is an arithmetic number, because the mean of its divisors is an integer number (7586460).

Almost surely, 2^256232480 is an apocalyptic number.

256232480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364150080).

256232480 is an abundant number, since it is smaller than the sum of its proper divisors (472067680).

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

256232480 is a wasteful number, since it uses less digits than its factorization.

256232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12082 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 256232480 is about 16007.2633513665. The cubic root of 256232480 is about 635.1525704444.

The spelling of 256232480 in words is "two hundred fifty-six million, two hundred thirty-two thousand, four hundred eighty".