257221200 has 60 divisors (see below), whose sum is σ = 823969088. Its totient is φ = 68592000.

The previous prime is 257221189. The next prime is 257221207. The reversal of 257221200 is 2122752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257221207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105976 + ... + 108375.

Almost surely, 2^257221200 is an apocalyptic number.

257221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257221200 is an abundant number, since it is smaller than the sum of its proper divisors (566747888).

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

257221200 is a wasteful number, since it uses less digits than its factorization.

257221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214372 (or 214361 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 257221200 is about 16038.1170964674. The cubic root of 257221200 is about 635.9684727855.

Adding to 257221200 its reverse (2122752), we get a palindrome (259343952).

The spelling of 257221200 in words is "two hundred fifty-seven million, two hundred twenty-one thousand, two hundred".