256644406260 has 432 divisors, whose sum is σ = 933843193920. Its totient is φ = 58551413760.

The previous prime is 256644406253. The next prime is 256644406283. The reversal of 256644406260 is 62604446652.

256644406260 is a `hidden beast` number, since 2 + 566 + 44 + 40 + 6 + 2 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24532911 + ... + 24543369.

It is an arithmetic number, because the mean of its divisors is an integer number (2161674060).

Almost surely, 2^256644406260 is an apocalyptic number.

256644406260 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 256644406260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466921596960).

256644406260 is an abundant number, since it is smaller than the sum of its proper divisors (677198787660).

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

256644406260 is a wasteful number, since it uses less digits than its factorization.

256644406260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 256644406260 in words is "two hundred fifty-six billion, six hundred forty-four million, four hundred six thousand, two hundred sixty".