257630384 has 40 divisors (see below), whose sum is σ = 548506560. Its totient is φ = 116251200.

The previous prime is 257630377. The next prime is 257630407. The reversal of 257630384 is 483036752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19199 + ... + 29729.

It is an arithmetic number, because the mean of its divisors is an integer number (13712664).

Almost surely, 2^257630384 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 257630384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274253280).

257630384 is an abundant number, since it is smaller than the sum of its proper divisors (290876176).

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

257630384 is a wasteful number, since it uses less digits than its factorization.

257630384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 257630384 is about 16050.8686369305. The cubic root of 257630384 is about 636.3055241331.

The spelling of 257630384 in words is "two hundred fifty-seven million, six hundred thirty thousand, three hundred eighty-four".