257464080 has 120 divisors (see below), whose sum is σ = 867955608. Its totient is φ = 68395008.

The previous prime is 257464063. The next prime is 257464111. The reversal of 257464080 is 80464752.

257464080 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 255104784 = 1536^2 + 15972^2 .

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 (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 23 ways as a sum of consecutive naturals, for example, 253654 + ... + 254666.

Almost surely, 2^257464080 is an apocalyptic number.

257464080 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 257464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433977804).

257464080 is an abundant number, since it is smaller than the sum of its proper divisors (610491528).

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

257464080 is a wasteful number, since it uses less digits than its factorization.

257464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 257464080 is about 16045.6872710395. The cubic root of 257464080 is about 636.1685799706.

The spelling of 257464080 in words is "two hundred fifty-seven million, four hundred sixty-four thousand, eighty".