253813824 has 140 divisors (see below), whose sum is σ = 820966608. Its totient is φ = 76896000.

The previous prime is 253813823. The next prime is 253813831. The reversal of 253813824 is 428318352.

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

It is not an unprimeable number, because it can be changed into a prime (253813823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54799 + ... + 59249.

Almost surely, 2^253813824 is an apocalyptic number.

253813824 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 253813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410483304).

253813824 is an abundant number, since it is smaller than the sum of its proper divisors (567152784).

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

253813824 is a wasteful number, since it uses less digits than its factorization.

253813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4467 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 253813824 is about 15931.5355192147. The cubic root of 253813824 is about 633.1477833788.

The spelling of 253813824 in words is "two hundred fifty-three million, eight hundred thirteen thousand, eight hundred twenty-four".