257715216 has 160 divisors (see below), whose sum is σ = 814055040. Its totient is φ = 77414400.

The previous prime is 257715151. The next prime is 257715229. The reversal of 257715216 is 612517752.

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

Its product of digits (29400) is a multiple of the sum of its prime divisors (490).

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 31 ways as a sum of consecutive naturals, for example, 916996 + ... + 917276.

It is an arithmetic number, because the mean of its divisors is an integer number (5087844).

Almost surely, 2^257715216 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 257715216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407027520).

257715216 is an abundant number, since it is smaller than the sum of its proper divisors (556339824).

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

257715216 is a wasteful number, since it uses less digits than its factorization.

257715216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 257715216 is about 16053.5110178428. The cubic root of 257715216 is about 636.3753569245.

The spelling of 257715216 in words is "two hundred fifty-seven million, seven hundred fifteen thousand, two hundred sixteen".