256172400 has 180 divisors, whose sum is σ = 969956520. Its totient is φ = 62092800.

The previous prime is 256172393. The next prime is 256172467. The reversal of 256172400 is 4271652.

256172400 is a `hidden beast` number, since 2 + 5 + 617 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36366 + ... + 42834.

Almost surely, 2^256172400 is an apocalyptic number.

256172400 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 256172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484978260).

256172400 is an abundant number, since it is smaller than the sum of its proper divisors (713784120).

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

256172400 is a wasteful number, since it uses less digits than its factorization.

256172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 256172400 is about 16005.3865932692. The cubic root of 256172400 is about 635.1029241891.

The spelling of 256172400 in words is "two hundred fifty-six million, one hundred seventy-two thousand, four hundred".