257434650 has 144 divisors (see below), whose sum is σ = 762192288. Its totient is φ = 61776000.

The previous prime is 257434649. The next prime is 257434663. The reversal of 257434650 is 56434752.

257434650 is a `hidden beast` number, since 2 + 574 + 34 + 6 + 50 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 648252 + ... + 648648.

It is an arithmetic number, because the mean of its divisors is an integer number (5293002).

Almost surely, 2^257434650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257434650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381096144).

257434650 is an abundant number, since it is smaller than the sum of its proper divisors (504757638).

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

257434650 is a wasteful number, since it uses less digits than its factorization.

257434650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 257434650 is about 16044.7701759795. The cubic root of 257434650 is about 636.1443394957.

The spelling of 257434650 in words is "two hundred fifty-seven million, four hundred thirty-four thousand, six hundred fifty".