257722992 has 160 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 76557312.

The previous prime is 257722963. The next prime is 257722999. The reversal of 257722992 is 299227752.

It is a happy number.

257722992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257722992² = 132842281210864128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257722999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138613 + ... + 140459.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^257722992 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 257722992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

257722992 is an abundant number, since it is smaller than the sum of its proper divisors (567224208).

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

257722992 is a wasteful number, since it uses less digits than its factorization.

257722992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1888 counting only the distinct ones).

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

The square root of 257722992 is about 16053.7532060263. The cubic root of 257722992 is about 636.3817572774.

The spelling of 257722992 in words is "two hundred fifty-seven million, seven hundred twenty-two thousand, nine hundred ninety-two".