257120400 has 120 divisors (see below), whose sum is σ = 846049024. Its totient is φ = 66700800.

The previous prime is 257120399. The next prime is 257120401. The reversal of 257120400 is 4021752.

It is an interprime number because it is at equal distance from previous prime (257120399) and next prime (257120401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×257120400² = 132221800192320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257120401) 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, 41505 + ... + 47295.

Almost surely, 2^257120400 is an apocalyptic number.

257120400 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 257120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423024512).

257120400 is an abundant number, since it is smaller than the sum of its proper divisors (588928624).

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

257120400 is a wasteful number, since it uses less digits than its factorization.

257120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 257120400 is about 16034.9742750028. The cubic root of 257120400 is about 635.8853873610.

The spelling of 257120400 in words is "two hundred fifty-seven million, one hundred twenty thousand, four hundred".