257061400 has 48 divisors (see below), whose sum is σ = 599057640. Its totient is φ = 102585600.

The previous prime is 257061391. The next prime is 257061443. The reversal of 257061400 is 4160752.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102967 + ... + 105433.

Almost surely, 2^257061400 is an apocalyptic number.

257061400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257061400 is an abundant number, since it is smaller than the sum of its proper divisors (341996240).

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

257061400 is a wasteful number, since it uses less digits than its factorization.

257061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 257061400 is about 16033.1344409008. The cubic root of 257061400 is about 635.8367459361.

The spelling of 257061400 in words is "two hundred fifty-seven million, sixty-one thousand, four hundred".