253741824 has 108 divisors (see below), whose sum is σ = 836167696. Its totient is φ = 72493056.

The previous prime is 253741823. The next prime is 253741837. The reversal of 253741824 is 428147352.

It is a happy number.

253741824 is a `hidden beast` number, since 2 + 537 + 41 + 82 + 4 = 666.

253741824 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 not an unprimeable number, because it can be changed into a prime (253741823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8262 + ... + 23994.

Almost surely, 2^253741824 is an apocalyptic number.

253741824 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 253741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418083848).

253741824 is an abundant number, since it is smaller than the sum of its proper divisors (582425872).

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

253741824 is a wasteful number, since it uses less digits than its factorization.

253741824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15762 (or 15745 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 253741824 is about 15929.2756897481. The cubic root of 253741824 is about 633.0879088469.

The spelling of 253741824 in words is "two hundred fifty-three million, seven hundred forty-one thousand, eight hundred twenty-four".