257294880 has 120 divisors (see below), whose sum is σ = 908082252. Its totient is φ = 68608512.

The previous prime is 257294857. The next prime is 257294887. The reversal of 257294880 is 88492752.

It can be written as a sum of positive squares in 2 ways, for example, as 240746256 + 16548624 = 15516^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257294887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3034 + ... + 22886.

Almost surely, 2^257294880 is an apocalyptic number.

257294880 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 257294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454041126).

257294880 is an abundant number, since it is smaller than the sum of its proper divisors (650787372).

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

257294880 is a wasteful number, since it uses less digits than its factorization.

257294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19880 (or 19863 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 257294880 is about 16040.4139597456. The cubic root of 257294880 is about 636.0291905435.

The spelling of 257294880 in words is "two hundred fifty-seven million, two hundred ninety-four thousand, eight hundred eighty".