253127424 has 216 divisors, whose sum is σ = 784994112. Its totient is φ = 71792640.

The previous prime is 253127423. The next prime is 253127429. The reversal of 253127424 is 424721352.

It is a junction number, because it is equal to n+sod(n) for n = 253127391 and 253127400.

It is not an unprimeable number, because it can be changed into a prime (253127423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3049687 + ... + 3049769.

It is an arithmetic number, because the mean of its divisors is an integer number (3634232).

Almost surely, 2^253127424 is an apocalyptic number.

253127424 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 253127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392497056).

253127424 is an abundant number, since it is smaller than the sum of its proper divisors (531866688).

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

253127424 is a wasteful number, since it uses less digits than its factorization.

253127424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 253127424 is about 15909.9787554855. The cubic root of 253127424 is about 632.5765182101.

Adding to 253127424 its reverse (424721352), we get a palindrome (677848776).

The spelling of 253127424 in words is "two hundred fifty-three million, one hundred twenty-seven thousand, four hundred twenty-four".