257074560 has 448 divisors, whose sum is σ = 1003374000. Its totient is φ = 62705664.

The previous prime is 257074553. The next prime is 257074619. The reversal of 257074560 is 65470752.

257074560 is a `hidden beast` number, since 25 + 7 + 0 + 74 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8864626 + ... + 8864654.

Almost surely, 2^257074560 is an apocalyptic number.

257074560 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 257074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501687000).

257074560 is an abundant number, since it is smaller than the sum of its proper divisors (746299440).

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

257074560 is an equidigital number, since it uses as much as digits as its factorization.

257074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 257074560 is about 16033.5448357498. The cubic root of 257074560 is about 635.8475960920.

The spelling of 257074560 in words is "two hundred fifty-seven million, seventy-four thousand, five hundred sixty".