253146304 has 28 divisors (see below), whose sum is σ = 515918704. Its totient is φ = 123151104.

The previous prime is 253146281. The next prime is 253146317. The reversal of 253146304 is 403641352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51084 + ... + 55819.

It is an arithmetic number, because the mean of its divisors is an integer number (18425668).

Almost surely, 2^253146304 is an apocalyptic number.

It is an amenable number.

253146304 is an abundant number, since it is smaller than the sum of its proper divisors (262772400).

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

253146304 is a wasteful number, since it uses less digits than its factorization.

253146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106952 (or 106942 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 253146304 is about 15910.5720827379. The cubic root of 253146304 is about 632.5922451348.

Adding to 253146304 its reverse (403641352), we get a palindrome (656787656).

The spelling of 253146304 in words is "two hundred fifty-three million, one hundred forty-six thousand, three hundred four".