257425200 has 180 divisors, whose sum is σ = 932477520. Its totient is φ = 65640960.

The previous prime is 257425171. The next prime is 257425249. The reversal of 257425200 is 2524752.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81246 + ... + 84354.

Almost surely, 2^257425200 is an apocalyptic number.

257425200 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 257425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466238760).

257425200 is an abundant number, since it is smaller than the sum of its proper divisors (675052320).

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

257425200 is a wasteful number, since it uses less digits than its factorization.

257425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 257425200 is about 16044.4756847957. The cubic root of 257425200 is about 636.1365554651.

Adding to 257425200 its reverse (2524752), we get a palindrome (259949952).

The spelling of 257425200 in words is "two hundred fifty-seven million, four hundred twenty-five thousand, two hundred".