253282304 has 48 divisors (see below), whose sum is σ = 552530160. Its totient is φ = 115118080.

The previous prime is 253282301. The next prime is 253282321. The reversal of 253282304 is 403282352.

It is not an unprimeable number, because it can be changed into a prime (253282301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16907 + ... + 28149.

It is an arithmetic number, because the mean of its divisors is an integer number (11511045).

Almost surely, 2^253282304 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 253282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276265080).

253282304 is an abundant number, since it is smaller than the sum of its proper divisors (299247856).

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

253282304 is a wasteful number, since it uses less digits than its factorization.

253282304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 253282304 is about 15914.8453966729. The cubic root of 253282304 is about 632.7055092063.

The spelling of 253282304 in words is "two hundred fifty-three million, two hundred eighty-two thousand, three hundred four".