257162112 has 192 divisors, whose sum is σ = 806208000. Its totient is φ = 78382080.

The previous prime is 257162107. The next prime is 257162141. The reversal of 257162112 is 211261752.

257162112 is a `hidden beast` number, since 25 + 7 + 1 + 621 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×257162112² = 132264703696601088, 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 23 ways as a sum of consecutive naturals, for example, 678339 + ... + 678717.

It is an arithmetic number, because the mean of its divisors is an integer number (4199000).

Almost surely, 2^257162112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403104000).

257162112 is an abundant number, since it is smaller than the sum of its proper divisors (549045888).

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

257162112 is a wasteful number, since it uses less digits than its factorization.

257162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 257162112 is about 16036.2748791607. The cubic root of 257162112 is about 635.9197715342.

The spelling of 257162112 in words is "two hundred fifty-seven million, one hundred sixty-two thousand, one hundred twelve".