234880800 has 576 divisors, whose sum is σ = 1007935488. Its totient is φ = 46080000.

The previous prime is 234880799. The next prime is 234880801. The reversal of 234880800 is 8088432.

It is an interprime number because it is at equal distance from previous prime (234880799) and next prime (234880801).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234880801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5728780 + ... + 5728820.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^234880800 is an apocalyptic number.

234880800 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 234880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

234880800 is an abundant number, since it is smaller than the sum of its proper divisors (773054688).

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

234880800 is a wasteful number, since it uses less digits than its factorization.

234880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 234880800 is about 15325.8213482997. The cubic root of 234880800 is about 616.9962234909.

The spelling of 234880800 in words is "two hundred thirty-four million, eight hundred eighty thousand, eight hundred".