257231200 has 72 divisors (see below), whose sum is σ = 632818872. Its totient is φ = 102097920.

The previous prime is 257231197. The next prime is 257231213. The reversal of 257231200 is 2132752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108427 + ... + 110773.

It is an arithmetic number, because the mean of its divisors is an integer number (8789151).

Almost surely, 2^257231200 is an apocalyptic number.

257231200 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 257231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316409436).

257231200 is an abundant number, since it is smaller than the sum of its proper divisors (375587672).

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

257231200 is a wasteful number, since it uses less digits than its factorization.

257231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 257231200 is about 16038.4288507322. The cubic root of 257231200 is about 635.9767142036.

Adding to 257231200 its reverse (2132752), we get a palindrome (259363952).

The spelling of 257231200 in words is "two hundred fifty-seven million, two hundred thirty-one thousand, two hundred".