257298816 has 32 divisors (see below), whose sum is σ = 683451000. Its totient is φ = 85766144.

The previous prime is 257298809. The next prime is 257298857. The reversal of 257298816 is 618892752.

It is a tau number, because it is divible by the number of its divisors (32).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334641 + ... + 335408.

Almost surely, 2^257298816 is an apocalyptic number.

It is an amenable number.

257298816 is an abundant number, since it is smaller than the sum of its proper divisors (426152184).

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

257298816 is an equidigital number, since it uses as much as digits as its factorization.

257298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670066 (or 670054 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 257298816 is about 16040.5366493768. The cubic root of 257298816 is about 636.0324337718.

The spelling of 257298816 in words is "two hundred fifty-seven million, two hundred ninety-eight thousand, eight hundred sixteen".