257124400 has 120 divisors (see below), whose sum is σ = 671300784. Its totient is φ = 94080000.

The previous prime is 257124377. The next prime is 257124401. The reversal of 257124400 is 4421752.

It is a super-2 number, since 2×257124400² = 132225914150720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257124401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1024275 + ... + 1024525.

Almost surely, 2^257124400 is an apocalyptic number.

257124400 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 257124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335650392).

257124400 is an abundant number, since it is smaller than the sum of its proper divisors (414176384).

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

257124400 is a wasteful number, since it uses less digits than its factorization.

257124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 257124400 is about 16035.0990018771. The cubic root of 257124400 is about 635.8886848154. Note that the first 3 decimals are identical.

The spelling of 257124400 in words is "two hundred fifty-seven million, one hundred twenty-four thousand, four hundred".