257195120 has 200 divisors, whose sum is σ = 758555616. Its totient is φ = 80607744.

The previous prime is 257195117. The next prime is 257195143. The reversal of 257195120 is 21591752.

It is a happy number.

It is a super-2 number, since 2×257195120² = 132298659503628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2496989 + ... + 2497091.

Almost surely, 2^257195120 is an apocalyptic number.

257195120 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 257195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379277808).

257195120 is an abundant number, since it is smaller than the sum of its proper divisors (501360496).

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

257195120 is a wasteful number, since it uses less digits than its factorization.

257195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 257195120 is about 16037.3040128321. The cubic root of 257195120 is about 635.9469781623.

The spelling of 257195120 in words is "two hundred fifty-seven million, one hundred ninety-five thousand, one hundred twenty".