257816832 has 432 divisors, whose sum is σ = 939520512. Its totient is φ = 61931520.

The previous prime is 257816813. The next prime is 257816861. The reversal of 257816832 is 238618752.

It is a super-3 number, since 3×257816832³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 8316657 + ... + 8316687.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 2^257816832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469760256).

257816832 is an abundant number, since it is smaller than the sum of its proper divisors (681703680).

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

257816832 is a wasteful number, since it uses less digits than its factorization.

257816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 257816832 is about 16056.6756210618. The cubic root of 257816832 is about 636.4589859550.

The spelling of 257816832 in words is "two hundred fifty-seven million, eight hundred sixteen thousand, eight hundred thirty-two".