234748800 has 768 divisors, whose sum is σ = 1062432000. Its totient is φ = 49766400.

The previous prime is 234748769. The next prime is 234748837. The reversal of 234748800 is 8847432.

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

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, 12355191 + ... + 12355209.

It is an arithmetic number, because the mean of its divisors is an integer number (1383375).

Almost surely, 2^234748800 is an apocalyptic number.

234748800 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 234748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216000).

234748800 is an abundant number, since it is smaller than the sum of its proper divisors (827683200).

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

234748800 is a wasteful number, since it uses less digits than its factorization.

234748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 234748800 is about 15321.5142854745. The cubic root of 234748800 is about 616.8806205085.

The spelling of 234748800 in words is "two hundred thirty-four million, seven hundred forty-eight thousand, eight hundred".