257556992 has 160 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 97505280.

The previous prime is 257556991. The next prime is 257556997. The reversal of 257556992 is 299655752.

It is a self number, because there is not a number n which added to its sum of digits gives 257556992.

It is not an unprimeable number, because it can be changed into a prime (257556991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852859 + ... + 1852997.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^257556992 is an apocalyptic number.

257556992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

257556992 is an abundant number, since it is smaller than the sum of its proper divisors (402400768).

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

257556992 is a wasteful number, since it uses less digits than its factorization.

257556992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 50.

The square root of 257556992 is about 16048.5822426780. The cubic root of 257556992 is about 636.2450962577.

The spelling of 257556992 in words is "two hundred fifty-seven million, five hundred fifty-six thousand, nine hundred ninety-two".