257800440 has 32 divisors (see below), whose sum is σ = 773401680. Its totient is φ = 68746752.

The previous prime is 257800409. The next prime is 257800453. The reversal of 257800440 is 44008752.

It is a super-2 number, since 2×257800440² = 132922133728387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 257800398 and 257800407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074049 + ... + 1074288.

Almost surely, 2^257800440 is an apocalyptic number.

257800440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257800440 is an abundant number, since it is smaller than the sum of its proper divisors (515601240).

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

257800440 is a wasteful number, since it uses less digits than its factorization.

257800440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148351 (or 2148347 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 257800440 is about 16056.1651710488. The cubic root of 257800440 is about 636.4454969769.

The spelling of 257800440 in words is "two hundred fifty-seven million, eight hundred thousand, four hundred forty".