256930182400 has 216 divisors, whose sum is σ = 658109656064. Its totient is φ = 99206553600.

The previous prime is 256930182283. The next prime is 256930182407. The reversal of 256930182400 is 4281039652.

256930182400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256930182407) 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 23 ways as a sum of consecutive naturals, for example, 91857802 + ... + 91860598.

Almost surely, 2^256930182400 is an apocalyptic number.

256930182400 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 256930182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329054828032).

256930182400 is an abundant number, since it is smaller than the sum of its proper divisors (401179473664).

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

256930182400 is a wasteful number, since it uses less digits than its factorization.

256930182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 256930182400 in words is "two hundred fifty-six billion, nine hundred thirty million, one hundred eighty-two thousand, four hundred".