257152350 has 96 divisors (see below), whose sum is σ = 784949760. Its totient is φ = 54253440.

The previous prime is 257152339. The next prime is 257152391. The reversal of 257152350 is 53251752.

It is a super-2 number, since 2×257152350² = 132254662221045000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4231 + ... + 23069.

It is an arithmetic number, because the mean of its divisors is an integer number (8176560).

Almost surely, 2^257152350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257152350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392474880).

257152350 is an abundant number, since it is smaller than the sum of its proper divisors (527797410).

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

257152350 is a wasteful number, since it uses less digits than its factorization.

257152350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18874 (or 18869 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 257152350 is about 16035.9705038392. The cubic root of 257152350 is about 635.9117248235.

The spelling of 257152350 in words is "two hundred fifty-seven million, one hundred fifty-two thousand, three hundred fifty".