257380416 has 140 divisors (see below), whose sum is σ = 770808720. Its totient is φ = 84913920.

The previous prime is 257380397. The next prime is 257380429. The reversal of 257380416 is 614083752.

257380416 is a `hidden beast` number, since 2 + 573 + 80 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 678915 + ... + 679293.

Almost surely, 2^257380416 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 257380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385404360).

257380416 is an abundant number, since it is smaller than the sum of its proper divisors (513428304).

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

257380416 is a wasteful number, since it uses less digits than its factorization.

257380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 257380416 is about 16043.0800035405. The cubic root of 257380416 is about 636.0996639827.

The spelling of 257380416 in words is "two hundred fifty-seven million, three hundred eighty thousand, four hundred sixteen".