257155416 has 192 divisors, whose sum is σ = 834662400. Its totient is φ = 69984000.

The previous prime is 257155373. The next prime is 257155427. The reversal of 257155416 is 614551752.

257155416 is a `hidden beast` number, since 25 + 71 + 554 + 16 = 666.

It is a super-2 number, since 2×257155416² = 132257815956266112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1702941 + ... + 1703091.

It is an arithmetic number, because the mean of its divisors is an integer number (4347200).

Almost surely, 2^257155416 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 257155416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417331200).

257155416 is an abundant number, since it is smaller than the sum of its proper divisors (577506984).

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

257155416 is a wasteful number, since it uses less digits than its factorization.

257155416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 257155416 is about 16036.0661011359. The cubic root of 257155416 is about 635.9142521159.

The spelling of 257155416 in words is "two hundred fifty-seven million, one hundred fifty-five thousand, four hundred sixteen".