257049792 has 84 divisors (see below), whose sum is σ = 780156936. Its totient is φ = 80640000.

The previous prime is 257049773. The next prime is 257049797. The reversal of 257049792 is 297940752.

257049792 is a `hidden beast` number, since 2 + 5 + 70 + 497 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (257049797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3334 + ... + 22917.

Almost surely, 2^257049792 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 257049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390078468).

257049792 is an abundant number, since it is smaller than the sum of its proper divisors (523107144).

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

257049792 is a wasteful number, since it uses less digits than its factorization.

257049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26286 (or 26273 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 257049792 is about 16032.7724364815. The cubic root of 257049792 is about 635.8271750657.

The spelling of 257049792 in words is "two hundred fifty-seven million, forty-nine thousand, seven hundred ninety-two".