253933344 has 72 divisors (see below), whose sum is σ = 825289920. Its totient is φ = 72551808.

The previous prime is 253933333. The next prime is 253933349. The reversal of 253933344 is 443339352.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 253933299 and 253933308.

It is not an unprimeable number, because it can be changed into a prime (253933349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60964 + ... + 64995.

It is an arithmetic number, because the mean of its divisors is an integer number (11462360).

Almost surely, 2^253933344 is an apocalyptic number.

253933344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253933344 is an abundant number, since it is smaller than the sum of its proper divisors (571356576).

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

253933344 is a wasteful number, since it uses less digits than its factorization.

253933344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125982 (or 125971 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 253933344 is about 15935.2861285890. The cubic root of 253933344 is about 633.2471501072.

The spelling of 253933344 in words is "two hundred fifty-three million, nine hundred thirty-three thousand, three hundred forty-four".