256452284160 has 864 divisors, whose sum is σ = 1013662278720. Its totient is φ = 59489648640.

The previous prime is 256452284149. The next prime is 256452284161. The reversal of 256452284160 is 61482254652.

256452284160 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 5 + 228 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256452284161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6254933740 + ... + 6254933780.

It is an arithmetic number, because the mean of its divisors is an integer number (1173220230).

Almost surely, 2^256452284160 is an apocalyptic number.

256452284160 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 256452284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506831139360).

256452284160 is an abundant number, since it is smaller than the sum of its proper divisors (757209994560).

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

256452284160 is an equidigital number, since it uses as much as digits as its factorization.

256452284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 256452284160 in words is "two hundred fifty-six billion, four hundred fifty-two million, two hundred eighty-four thousand, one hundred sixty".