256945730400 has 864 divisors, whose sum is σ = 977131209600. Its totient is φ = 63402393600.

The previous prime is 256945730387. The next prime is 256945730401. The reversal of 256945730400 is 4037549652.

256945730400 is a `hidden beast` number, since 2 + 569 + 4 + 57 + 30 + 4 + 0 + 0 = 666.

256945730400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256945730400² (a number of 24 digits) contains 22 as substring.

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 (256945730401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 610322190 + ... + 610322610.

It is an arithmetic number, because the mean of its divisors is an integer number (1130938900).

Almost surely, 2^256945730400 is an apocalyptic number.

256945730400 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 256945730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488565604800).

256945730400 is an abundant number, since it is smaller than the sum of its proper divisors (720185479200).

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

256945730400 is a wasteful number, since it uses less digits than its factorization.

256945730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 256945730400 in words is "two hundred fifty-six billion, nine hundred forty-five million, seven hundred thirty thousand, four hundred".