257463414 has 128 divisors (see below), whose sum is σ = 658560000. Its totient is φ = 73903104.

The previous prime is 257463407. The next prime is 257463431. The reversal of 257463414 is 414364752.

257463414 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 634 + 14 = 666.

257463414 is a modest number, since divided by 63414 gives 2574 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293687 + ... + 1293885.

It is an arithmetic number, because the mean of its divisors is an integer number (5145000).

Almost surely, 2^257463414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257463414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329280000).

257463414 is an abundant number, since it is smaller than the sum of its proper divisors (401096586).

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

257463414 is a wasteful number, since it uses less digits than its factorization.

257463414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 257463414 is about 16045.6665177860. Note that the first 3 decimals coincide. The cubic root of 257463414 is about 636.1680314298.

The spelling of 257463414 in words is "two hundred fifty-seven million, four hundred sixty-three thousand, four hundred fourteen".