253354304 has 42 divisors (see below), whose sum is σ = 584838810. Its totient is φ = 108579072.

The previous prime is 253354301. The next prime is 253354307. The reversal of 253354304 is 403453352.

It is an interprime number because it is at equal distance from previous prime (253354301) and next prime (253354307).

It can be written as a sum of positive squares in only one way, i.e., 165894400 + 87459904 = 12880^2 + 9352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253354301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37259 + ... + 43530.

Almost surely, 2^253354304 is an apocalyptic number.

It is an amenable number.

253354304 is an abundant number, since it is smaller than the sum of its proper divisors (331484506).

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

253354304 is an equidigital number, since it uses as much as digits as its factorization.

253354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80815 (or 80798 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 253354304 is about 15917.1072748788. The cubic root of 253354304 is about 632.7654561246.

The spelling of 253354304 in words is "two hundred fifty-three million, three hundred fifty-four thousand, three hundred four".