257228992 has 56 divisors (see below), whose sum is σ = 540512000. Its totient is φ = 121118976.

The previous prime is 257228969. The next prime is 257228999. The reversal of 257228992 is 299822752.

It is not an unprimeable number, because it can be changed into a prime (257228999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241453 + ... + 242515.

It is an arithmetic number, because the mean of its divisors is an integer number (9652000).

Almost surely, 2^257228992 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 257228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270256000).

257228992 is an abundant number, since it is smaller than the sum of its proper divisors (283283008).

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

257228992 is a wasteful number, since it uses less digits than its factorization.

257228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 257228992 is about 16038.3600159119. The cubic root of 257228992 is about 635.9748945168.

The spelling of 257228992 in words is "two hundred fifty-seven million, two hundred twenty-eight thousand, nine hundred ninety-two".