253842792 has 128 divisors (see below), whose sum is σ = 754333440. Its totient is φ = 69672960.

The previous prime is 253842763. The next prime is 253842847. The reversal of 253842792 is 297248352.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 602742 + ... + 603162.

It is an arithmetic number, because the mean of its divisors is an integer number (5893230).

Almost surely, 2^253842792 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 253842792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377166720).

253842792 is an abundant number, since it is smaller than the sum of its proper divisors (500490648).

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

253842792 is a wasteful number, since it uses less digits than its factorization.

253842792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 253842792 is about 15932.4446335143. Note that the first 3 decimals coincide. The cubic root of 253842792 is about 633.1718697044.

The spelling of 253842792 in words is "two hundred fifty-three million, eight hundred forty-two thousand, seven hundred ninety-two".