230053824 has 672 divisors, whose sum is σ = 972921600. Its totient is φ = 52254720.

The previous prime is 230053801. The next prime is 230053841. The reversal of 230053824 is 428350032.

230053824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12108087 + ... + 12108105.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 2^230053824 is an apocalyptic number.

230053824 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 230053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486460800).

230053824 is an abundant number, since it is smaller than the sum of its proper divisors (742867776).

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

230053824 is a wasteful number, since it uses less digits than its factorization.

230053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230053824 is about 15167.5253090278. The cubic root of 230053824 is about 612.7403573673.

The spelling of 230053824 in words is "two hundred thirty million, fifty-three thousand, eight hundred twenty-four".