257045580 has 144 divisors (see below), whose sum is σ = 857945088. Its totient is φ = 61776000.

The previous prime is 257045573. The next prime is 257045599. The reversal of 257045580 is 85540752.

It is a happy number.

257045580 is a `hidden beast` number, since 2 + 5 + 70 + 4 + 5 + 580 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 258885 + ... + 259875.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2^257045580 is an apocalyptic number.

257045580 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 257045580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

257045580 is an abundant number, since it is smaller than the sum of its proper divisors (600899508).

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

257045580 is a wasteful number, since it uses less digits than its factorization.

257045580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 257045580 is about 16032.6410799968. The cubic root of 257045580 is about 635.8237021735.

The spelling of 257045580 in words is "two hundred fifty-seven million, forty-five thousand, five hundred eighty".