256877978400 has 1152 divisors, whose sum is σ = 1029134131200. Its totient is φ = 61585920000.

The previous prime is 256877978393. The next prime is 256877978407. The reversal of 256877978400 is 4879778652.

It is an interprime number because it is at equal distance from previous prime (256877978393) and next prime (256877978407).

It is not an unprimeable number, because it can be changed into a prime (256877978407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 776066235 + ... + 776066565.

It is an arithmetic number, because the mean of its divisors is an integer number (893345600).

Almost surely, 2^256877978400 is an apocalyptic number.

256877978400 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 256877978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514567065600).

256877978400 is an abundant number, since it is smaller than the sum of its proper divisors (772256152800).

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

256877978400 is a wasteful number, since it uses less digits than its factorization.

256877978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 256877978400 in words is "two hundred fifty-six billion, eight hundred seventy-seven million, nine hundred seventy-eight thousand, four hundred".