257333232 has 160 divisors (see below), whose sum is σ = 755951616. Its totient is φ = 74880000.

The previous prime is 257333231. The next prime is 257333239. The reversal of 257333232 is 232333752.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 257333232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257333231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025107 + ... + 1025357.

Almost surely, 2^257333232 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 257333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377975808).

257333232 is an abundant number, since it is smaller than the sum of its proper divisors (498618384).

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

257333232 is a wasteful number, since it uses less digits than its factorization.

257333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 22680, while the sum is 30.

The square root of 257333232 is about 16041.6093955688. The cubic root of 257333232 is about 636.0607908349.

Adding to 257333232 its reverse (232333752), we get a palindrome (489666984).

The spelling of 257333232 in words is "two hundred fifty-seven million, three hundred thirty-three thousand, two hundred thirty-two".