253252224 has 128 divisors (see below), whose sum is σ = 754636800. Its totient is φ = 83607552.

The previous prime is 253252211. The next prime is 253252261. The reversal of 253252224 is 422252352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438624 + ... + 439200.

It is an arithmetic number, because the mean of its divisors is an integer number (5895600).

Almost surely, 2^253252224 is an apocalyptic number.

253252224 is a gapful number since it is divisible by the number (24) 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 253252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377318400).

253252224 is an abundant number, since it is smaller than the sum of its proper divisors (501384576).

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

253252224 is a wasteful number, since it uses less digits than its factorization.

253252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 709 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 253252224 is about 15913.9003390118. The cubic root of 253252224 is about 632.6804613514.

It can be divided in two parts, 2532 and 52224, that added together give a square (54756 = 234²).

The spelling of 253252224 in words is "two hundred fifty-three million, two hundred fifty-two thousand, two hundred twenty-four".