257504940 has 288 divisors, whose sum is σ = 1008161280. Its totient is φ = 53412480.

The previous prime is 257504917. The next prime is 257504953. The reversal of 257504940 is 49405752.

257504940 is a `hidden beast` number, since 2 + 575 + 0 + 49 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257504895 and 257504904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457099 + ... + 457661.

It is an arithmetic number, because the mean of its divisors is an integer number (3500560).

Almost surely, 2^257504940 is an apocalyptic number.

257504940 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 257504940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504080640).

257504940 is an abundant number, since it is smaller than the sum of its proper divisors (750656340).

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

257504940 is a wasteful number, since it uses less digits than its factorization.

257504940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257504940 is about 16046.9604598503. The cubic root of 257504940 is about 636.2022318794.

The spelling of 257504940 in words is "two hundred fifty-seven million, five hundred four thousand, nine hundred forty".