257319216 has 240 divisors, whose sum is σ = 937797120. Its totient is φ = 63866880.

The previous prime is 257319199. The next prime is 257319217. The reversal of 257319216 is 612913752.

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

It is not an unprimeable number, because it can be changed into a prime (257319217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 254520 + ... + 255528.

It is an arithmetic number, because the mean of its divisors is an integer number (3907488).

Almost surely, 2^257319216 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 257319216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468898560).

257319216 is an abundant number, since it is smaller than the sum of its proper divisors (680477904).

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

257319216 is a wasteful number, since it uses less digits than its factorization.

257319216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 257319216 is about 16041.1725257227. The cubic root of 257319216 is about 636.0492426569.

The spelling of 257319216 in words is "two hundred fifty-seven million, three hundred nineteen thousand, two hundred sixteen".