257216400 has 360 divisors, whose sum is σ = 1043415360. Its totient is φ = 57461760.

The previous prime is 257216387. The next prime is 257216413. The reversal of 257216400 is 4612752.

257216400 is a `hidden beast` number, since 257 + 2 + 1 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (257216387) and next prime (257216413).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1486714 + ... + 1486886.

It is an arithmetic number, because the mean of its divisors is an integer number (2898376).

Almost surely, 2^257216400 is an apocalyptic number.

257216400 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 257216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521707680).

257216400 is an abundant number, since it is smaller than the sum of its proper divisors (786198960).

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

257216400 is a wasteful number, since it uses less digits than its factorization.

257216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

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

The square root of 257216400 is about 16037.9674522678. The cubic root of 257216400 is about 635.9645168290.

The spelling of 257216400 in words is "two hundred fifty-seven million, two hundred sixteen thousand, four hundred".