253862224 has 240 divisors, whose sum is σ = 701669376. Its totient is φ = 86169600.

The previous prime is 253862171. The next prime is 253862237. The reversal of 253862224 is 422268352.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 253862224.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8189089 + ... + 8189119.

Almost surely, 2^253862224 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 253862224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350834688).

253862224 is an abundant number, since it is smaller than the sum of its proper divisors (447807152).

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

253862224 is a wasteful number, since it uses less digits than its factorization.

253862224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 253862224 is about 15933.0544466527. The cubic root of 253862224 is about 633.1880260056.

The spelling of 253862224 in words is "two hundred fifty-three million, eight hundred sixty-two thousand, two hundred twenty-four".