257401080 has 192 divisors, whose sum is σ = 895134240. Its totient is φ = 63922176.

The previous prime is 257401061. The next prime is 257401087. The reversal of 257401080 is 80104752.

257401080 is a `hidden beast` number, since 2 + 574 + 0 + 10 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257401087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838287 + ... + 838593.

Almost surely, 2^257401080 is an apocalyptic number.

257401080 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 257401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447567120).

257401080 is an abundant number, since it is smaller than the sum of its proper divisors (637733160).

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

257401080 is a wasteful number, since it uses less digits than its factorization.

257401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 257401080 is about 16043.7240066015. The cubic root of 257401080 is about 636.1166867900.

The spelling of 257401080 in words is "two hundred fifty-seven million, four hundred one thousand, eighty".