253242624 has 72 divisors (see below), whose sum is σ = 677790400. Its totient is φ = 83939328.

The previous prime is 253242623. The next prime is 253242629. The reversal of 253242624 is 426242352.

It is a super-2 number, since 2×253242624² = 128263653220810752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253242591 and 253242600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253242623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152004 + ... + 153660.

Almost surely, 2^253242624 is an apocalyptic number.

253242624 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 253242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338895200).

253242624 is an abundant number, since it is smaller than the sum of its proper divisors (424547776).

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

253242624 is a wasteful number, since it uses less digits than its factorization.

253242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1861 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 253242624 is about 15913.5987130504. The cubic root of 253242624 is about 632.6724669377.

Adding to 253242624 its reverse (426242352), we get a palindrome (679484976).

The spelling of 253242624 in words is "two hundred fifty-three million, two hundred forty-two thousand, six hundred twenty-four".