253802112 has 96 divisors (see below), whose sum is σ = 716464320. Its totient is φ = 79589376.

The previous prime is 253802111. The next prime is 253802147. The reversal of 253802112 is 211208352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253802111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109833 + ... + 112119.

It is an arithmetic number, because the mean of its divisors is an integer number (7463170).

Almost surely, 2^253802112 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 253802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358232160).

253802112 is an abundant number, since it is smaller than the sum of its proper divisors (462662208).

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

253802112 is a wasteful number, since it uses less digits than its factorization.

253802112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 253802112 is about 15931.1679421190. The cubic root of 253802112 is about 633.1380445595.

The spelling of 253802112 in words is "two hundred fifty-three million, eight hundred two thousand, one hundred twelve".