257532840 has 192 divisors, whose sum is σ = 919900800. Its totient is φ = 62194176.

The previous prime is 257532829. The next prime is 257532851. The reversal of 257532840 is 48235752.

257532840 is a `hidden beast` number, since 2 + 575 + 3 + 2 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257532829) and next prime (257532851).

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 = 257532795 and 257532804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156502 + ... + 158138.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^257532840 is an apocalyptic number.

257532840 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 257532840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

257532840 is an abundant number, since it is smaller than the sum of its proper divisors (662367960).

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

257532840 is a wasteful number, since it uses less digits than its factorization.

257532840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 257532840 is about 16047.8297598149. The cubic root of 257532840 is about 636.2252080098.

The spelling of 257532840 in words is "two hundred fifty-seven million, five hundred thirty-two thousand, eight hundred forty".