253149624 has 288 divisors, whose sum is σ = 892775520. Its totient is φ = 65505024.

The previous prime is 253149563. The next prime is 253149629. The reversal of 253149624 is 426941352.

It is a happy number.

253149624 is a `hidden beast` number, since 25 + 3 + 1 + 4 + 9 + 624 = 666.

253149624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253149629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4776382 + ... + 4776434.

It is an arithmetic number, because the mean of its divisors is an integer number (3099915).

Almost surely, 2^253149624 is an apocalyptic number.

253149624 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 253149624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446387760).

253149624 is an abundant number, since it is smaller than the sum of its proper divisors (639625896).

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

253149624 is an equidigital number, since it uses as much as digits as its factorization.

253149624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 253149624 is about 15910.6764155393. The cubic root of 253149624 is about 632.5950105936.

The spelling of 253149624 in words is "two hundred fifty-three million, one hundred forty-nine thousand, six hundred twenty-four".