257283720 has 48 divisors (see below), whose sum is σ = 836173260. Its totient is φ = 68608896.

The previous prime is 257283701. The next prime is 257283751. The reversal of 257283720 is 27382752.

It is a happy number.

257283720 is a `hidden beast` number, since 2 + 572 + 83 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245047716 + 12236004 = 15654^2 + 3498^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356979 + ... + 357698.

Almost surely, 2^257283720 is an apocalyptic number.

257283720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257283720 is an abundant number, since it is smaller than the sum of its proper divisors (578889540).

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

257283720 is a wasteful number, since it uses less digits than its factorization.

257283720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714694 (or 714687 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257283720 is about 16040.0660846519. The cubic root of 257283720 is about 636.0199946248.

The spelling of 257283720 in words is "two hundred fifty-seven million, two hundred eighty-three thousand, seven hundred twenty".