257906400 has 144 divisors (see below), whose sum is σ = 860288688. Its totient is φ = 67072000.

The previous prime is 257906377. The next prime is 257906419. The reversal of 257906400 is 4609752.

It is a super-2 number, since 2×257906400² = 133031422321920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97090 + ... + 99710.

It is an arithmetic number, because the mean of its divisors is an integer number (5974227).

Almost surely, 2^257906400 is an apocalyptic number.

257906400 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 257906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430144344).

257906400 is an abundant number, since it is smaller than the sum of its proper divisors (602382288).

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

257906400 is a wasteful number, since it uses less digits than its factorization.

257906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 257906400 is about 16059.4644991668. The cubic root of 257906400 is about 636.5326813738.

The spelling of 257906400 in words is "two hundred fifty-seven million, nine hundred six thousand, four hundred".