253924272 has 240 divisors, whose sum is σ = 853070400. Its totient is φ = 70447104.

The previous prime is 253924241. The next prime is 253924283. The reversal of 253924272 is 272429352.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2617728 + ... + 2617824.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^253924272 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 253924272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

253924272 is an abundant number, since it is smaller than the sum of its proper divisors (599146128).

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

253924272 is a wasteful number, since it uses less digits than its factorization.

253924272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 253924272 is about 15935.0014747411. The cubic root of 253924272 is about 633.2396089070.

The spelling of 253924272 in words is "two hundred fifty-three million, nine hundred twenty-four thousand, two hundred seventy-two".