256493606400 has 960 divisors, whose sum is σ = 1006951176000. Its totient is φ = 63724584960.

The previous prime is 256493606387. The next prime is 256493606423. The reversal of 256493606400 is 4606394652.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 875404654 + ... + 875404946.

It is an arithmetic number, because the mean of its divisors is an integer number (1048907475).

Almost surely, 2^256493606400 is an apocalyptic number.

256493606400 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 256493606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503475588000).

256493606400 is an abundant number, since it is smaller than the sum of its proper divisors (750457569600).

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

256493606400 is a wasteful number, since it uses less digits than its factorization.

256493606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 256493606400 in words is "two hundred fifty-six billion, four hundred ninety-three million, six hundred six thousand, four hundred".