234520800 has 288 divisors, whose sum is σ = 831196800. Its totient is φ = 57231360.

The previous prime is 234520789. The next prime is 234520823. The reversal of 234520800 is 8025432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687131 + ... + 1687269.

It is an arithmetic number, because the mean of its divisors is an integer number (2886100).

Almost surely, 2^234520800 is an apocalyptic number.

234520800 is a gapful number since it is divisible by the number (20) 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 234520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415598400).

234520800 is an abundant number, since it is smaller than the sum of its proper divisors (596676000).

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

234520800 is a wasteful number, since it uses less digits than its factorization.

234520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 234520800 is about 15314.0719601287. The cubic root of 234520800 is about 616.6808405151.

The spelling of 234520800 in words is "two hundred thirty-four million, five hundred twenty thousand, eight hundred".