257042880 has 168 divisors, whose sum is σ = 891540000. Its totient is φ = 67971072.

The previous prime is 257042869. The next prime is 257042897. The reversal of 257042880 is 88240752.

It is a happy number.

257042880 is a `hidden beast` number, since 2 + 570 + 4 + 2 + 8 + 80 = 666.

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 23 ways as a sum of consecutive naturals, for example, 428821 + ... + 429419.

Almost surely, 2^257042880 is an apocalyptic number.

257042880 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 257042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770000).

257042880 is an abundant number, since it is smaller than the sum of its proper divisors (634497120).

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

257042880 is a wasteful number, since it uses less digits than its factorization.

257042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 257042880 is about 16032.5568765559. The cubic root of 257042880 is about 635.8214759405.

The spelling of 257042880 in words is "two hundred fifty-seven million, forty-two thousand, eight hundred eighty".