257668320 has 384 divisors, whose sum is σ = 1060770816. Its totient is φ = 51019776.

The previous prime is 257668267. The next prime is 257668339. The reversal of 257668320 is 23866752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742387 + ... + 742733.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 2^257668320 is an apocalyptic number.

257668320 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 257668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530385408).

257668320 is an abundant number, since it is smaller than the sum of its proper divisors (803102496).

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

257668320 is a wasteful number, since it uses less digits than its factorization.

257668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 257668320 is about 16052.0503363278. The cubic root of 257668320 is about 636.3367545354.

The spelling of 257668320 in words is "two hundred fifty-seven million, six hundred sixty-eight thousand, three hundred twenty".