256464252 has 96 divisors (see below), whose sum is σ = 737452800. Its totient is φ = 76420800.

The previous prime is 256464251. The next prime is 256464259. The reversal of 256464252 is 252464652.

256464252 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 642 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256464251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70699 + ... + 74237.

It is an arithmetic number, because the mean of its divisors is an integer number (7681800).

Almost surely, 2^256464252 is an apocalyptic number.

256464252 is a gapful number since it is divisible by the number (22) 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 256464252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368726400).

256464252 is an abundant number, since it is smaller than the sum of its proper divisors (480988548).

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

256464252 is a wasteful number, since it uses less digits than its factorization.

256464252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3616 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 256464252 is about 16014.5013035061. The cubic root of 256464252 is about 635.3440192646.

The spelling of 256464252 in words is "two hundred fifty-six million, four hundred sixty-four thousand, two hundred fifty-two".