257970080 has 96 divisors (see below), whose sum is σ = 642978000. Its totient is φ = 97656832.

The previous prime is 257970079. The next prime is 257970091. The reversal of 257970080 is 80079752.

It can be written as a sum of positive squares in 8 ways, for example, as 200392336 + 57577744 = 14156^2 + 7588^2 .

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 15 ways as a sum of consecutive naturals, for example, 245396 + ... + 246444.

Almost surely, 2^257970080 is an apocalyptic number.

257970080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321489000).

257970080 is an abundant number, since it is smaller than the sum of its proper divisors (385007920).

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

257970080 is a wasteful number, since it uses less digits than its factorization.

257970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 257970080 is about 16061.4470082866. The cubic root of 257970080 is about 636.5850660961.

The spelling of 257970080 in words is "two hundred fifty-seven million, nine hundred seventy thousand, eighty".