257749440 has 224 divisors, whose sum is σ = 928542720. Its totient is φ = 60051456.

The previous prime is 257749433. The next prime is 257749451. The reversal of 257749440 is 44947752.

It is a junction number, because it is equal to n+sod(n) for n = 257749392 and 257749401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236577 + ... + 237663.

It is an arithmetic number, because the mean of its divisors is an integer number (4145280).

Almost surely, 2^257749440 is an apocalyptic number.

257749440 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 257749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464271360).

257749440 is an abundant number, since it is smaller than the sum of its proper divisors (670793280).

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

257749440 is a wasteful number, since it uses less digits than its factorization.

257749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 257749440 is about 16054.5769175024. The cubic root of 257749440 is about 636.4035254155.

The spelling of 257749440 in words is "two hundred fifty-seven million, seven hundred forty-nine thousand, four hundred forty".