257830080 has 56 divisors (see below), whose sum is σ = 818613552. Its totient is φ = 68754432.

The previous prime is 257830049. The next prime is 257830081. The reversal of 257830080 is 80038752.

257830080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257830081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133327 + ... + 135246.

Almost surely, 2^257830080 is an apocalyptic number.

257830080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257830080 is an abundant number, since it is smaller than the sum of its proper divisors (560783472).

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

257830080 is a wasteful number, since it uses less digits than its factorization.

257830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268593 (or 268583 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 257830080 is about 16057.0881544569. The cubic root of 257830080 is about 636.4698873175.

The spelling of 257830080 in words is "two hundred fifty-seven million, eight hundred thirty thousand, eighty".