253172304 has 400 divisors, whose sum is σ = 950653440. Its totient is φ = 63141120.

The previous prime is 253172273. The next prime is 253172317. The reversal of 253172304 is 403271352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4291027 + ... + 4291085.

Almost surely, 2^253172304 is an apocalyptic number.

253172304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253172304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475326720).

253172304 is an abundant number, since it is smaller than the sum of its proper divisors (697481136).

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

253172304 is a wasteful number, since it uses less digits than its factorization.

253172304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 253172304 is about 15911.3891285456. The cubic root of 253172304 is about 632.6139016960.

The spelling of 253172304 in words is "two hundred fifty-three million, one hundred seventy-two thousand, three hundred four".