257390688 has 48 divisors (see below), whose sum is σ = 679429296. Its totient is φ = 85317120.

The previous prime is 257390669. The next prime is 257390713. The reversal of 257390688 is 886093752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×257390688² = 132499932538226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9970 + ... + 24782.

It is an arithmetic number, because the mean of its divisors is an integer number (14154777).

Almost surely, 2^257390688 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 257390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339714648).

257390688 is an abundant number, since it is smaller than the sum of its proper divisors (422038608).

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

257390688 is a wasteful number, since it uses less digits than its factorization.

257390688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 257390688 is about 16043.4001383747. The cubic root of 257390688 is about 636.1081260728.

The spelling of 257390688 in words is "two hundred fifty-seven million, three hundred ninety thousand, six hundred eighty-eight".