257136480 has 72 divisors (see below), whose sum is σ = 877483152. Its totient is φ = 68569344.

The previous prime is 257136479. The next prime is 257136491. The reversal of 257136480 is 84631752.

257136480 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×257136480² = 132238338693580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87844 + ... + 90723.

It is an arithmetic number, because the mean of its divisors is an integer number (12187266).

Almost surely, 2^257136480 is an apocalyptic number.

257136480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257136480 is an abundant number, since it is smaller than the sum of its proper divisors (620346672).

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

257136480 is a wasteful number, since it uses less digits than its factorization.

257136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178588 (or 178577 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 257136480 is about 16035.4756711486. The cubic root of 257136480 is about 635.8986429200.

The spelling of 257136480 in words is "two hundred fifty-seven million, one hundred thirty-six thousand, four hundred eighty".