257211200 has 42 divisors (see below), whose sum is σ = 632904246. Its totient is φ = 102883840.

The previous prime is 257211133. The next prime is 257211209. The reversal of 257211200 is 2112752.

257211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4528384 + 252682816 = 2128^2 + 15896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257211209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78779 + ... + 81978.

Almost surely, 2^257211200 is an apocalyptic number.

257211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257211200 is an abundant number, since it is smaller than the sum of its proper divisors (375693046).

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

257211200 is a wasteful number, since it uses less digits than its factorization.

257211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160779 (or 160764 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 257211200 is about 16037.8053361425. The cubic root of 257211200 is about 635.9602311539.

Adding to 257211200 its reverse (2112752), we get a palindrome (259323952).

The spelling of 257211200 in words is "two hundred fifty-seven million, two hundred eleven thousand, two hundred".