257252160 has 224 divisors, whose sum is σ = 944099712. Its totient is φ = 58654720.

The previous prime is 257252147. The next prime is 257252179. The reversal of 257252160 is 61252752.

257252160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178804 + ... + 180236.

Almost surely, 2^257252160 is an apocalyptic number.

257252160 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 257252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472049856).

257252160 is an abundant number, since it is smaller than the sum of its proper divisors (686847552).

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

257252160 is a wasteful number, since it uses less digits than its factorization.

257252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 257252160 is about 16039.0822680102. The cubic root of 257252160 is about 635.9939875228.

The spelling of 257252160 in words is "two hundred fifty-seven million, two hundred fifty-two thousand, one hundred sixty".