257306252 has 48 divisors (see below), whose sum is σ = 528729600. Its totient is φ = 109516176.

The previous prime is 257306243. The next prime is 257306263. The reversal of 257306252 is 252603752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228563 + ... + 229685.

It is an arithmetic number, because the mean of its divisors is an integer number (11015200).

Almost surely, 2^257306252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257306252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264364800).

257306252 is an abundant number, since it is smaller than the sum of its proper divisors (271423348).

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

257306252 is a wasteful number, since it uses less digits than its factorization.

257306252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 257306252 is about 16040.7684354584. The cubic root of 257306252 is about 636.0385608781.

The spelling of 257306252 in words is "two hundred fifty-seven million, three hundred six thousand, two hundred fifty-two".