256535400 has 192 divisors, whose sum is σ = 887086080. Its totient is φ = 60793600.

The previous prime is 256535387. The next prime is 256535417. The reversal of 256535400 is 4535652.

256535400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256535400² = 131620822906320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309787 + ... + 310613.

It is an arithmetic number, because the mean of its divisors is an integer number (4620240).

Almost surely, 2^256535400 is an apocalyptic number.

256535400 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 256535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443543040).

256535400 is an abundant number, since it is smaller than the sum of its proper divisors (630550680).

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

256535400 is a wasteful number, since it uses less digits than its factorization.

256535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 256535400 is about 16016.7225111756. The cubic root of 256535400 is about 635.4027659535.

256535400 divided by its sum of digits (30) gives a triangular number (8551180 = T₄₁₃₅).

The spelling of 256535400 in words is "two hundred fifty-six million, five hundred thirty-five thousand, four hundred".