253442112 has 336 divisors, whose sum is σ = 889528320. Its totient is φ = 62899200.

The previous prime is 253442093. The next prime is 253442177. The reversal of 253442112 is 211244352.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208089 + ... + 3208167.

Almost surely, 2^253442112 is an apocalyptic number.

253442112 is a gapful number since it is divisible by the number (22) 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 253442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444764160).

253442112 is an abundant number, since it is smaller than the sum of its proper divisors (636086208).

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

253442112 is a wasteful number, since it uses less digits than its factorization.

253442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 253442112 is about 15919.8653260635. The cubic root of 253442112 is about 632.8385493523.

Adding to 253442112 its reverse (211244352), we get a palindrome (464686464).

The spelling of 253442112 in words is "two hundred fifty-three million, four hundred forty-two thousand, one hundred twelve".