253392 has 20 divisors (see below), whose sum is σ = 654720. Its totient is φ = 84448.

The previous prime is 253387. The next prime is 253417. The reversal of 253392 is 293352.

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

It is a d-powerful number, because it can be written as 2¹² + 5² + 3³ + 3¹¹ + 9⁴ + 2¹⁶ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253392.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2592 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2²⁵³³⁹² is an apocalyptic number.

It is an amenable number.

253392 is an abundant number, since it is smaller than the sum of its proper divisors (401328).

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

253392 is a wasteful number, since it uses less digits than its factorization.

253392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5284 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 253392 is about 503.3805717347. The cubic root of 253392 is about 63.2796837137.

The spelling of 253392 in words is "two hundred fifty-three thousand, three hundred ninety-two".