257864400 has 180 divisors, whose sum is σ = 906691968. Its totient is φ = 67856640.

The previous prime is 257864393. The next prime is 257864401. The reversal of 257864400 is 4468752.

257864400 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 644 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257864401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298369 + ... + 299231.

Almost surely, 2^257864400 is an apocalyptic number.

257864400 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 257864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453345984).

257864400 is an abundant number, since it is smaller than the sum of its proper divisors (648827568).

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

257864400 is a wasteful number, since it uses less digits than its factorization.

257864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 257864400 is about 16058.1568058106. The cubic root of 257864400 is about 636.4981264293.

The spelling of 257864400 in words is "two hundred fifty-seven million, eight hundred sixty-four thousand, four hundred".