257864080 has 80 divisors (see below), whose sum is σ = 621482544. Its totient is φ = 99440640.

The previous prime is 257864053. The next prime is 257864083. The reversal of 257864080 is 80468752.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 257025024 = 916^2 + 16032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (257864083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258142 + ... + 259138.

Almost surely, 2^257864080 is an apocalyptic number.

257864080 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 257864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310741272).

257864080 is an abundant number, since it is smaller than the sum of its proper divisors (363618464).

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

257864080 is a wasteful number, since it uses less digits than its factorization.

257864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 257864080 is about 16058.1468420238. The cubic root of 257864080 is about 636.4978631392.

The spelling of 257864080 in words is "two hundred fifty-seven million, eight hundred sixty-four thousand, eighty".