234884800 has 84 divisors (see below), whose sum is σ = 586172056. Its totient is φ = 92620800.

The previous prime is 234884773. The next prime is 234884807. The reversal of 234884800 is 8488432.

It is a self number, because there is not a number n which added to its sum of digits gives 234884800.

It is not an unprimeable number, because it can be changed into a prime (234884807) 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, 115795 + ... + 117805.

Almost surely, 2^234884800 is an apocalyptic number.

234884800 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 234884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293086028).

234884800 is an abundant number, since it is smaller than the sum of its proper divisors (351287256).

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

234884800 is a wasteful number, since it uses less digits than its factorization.

234884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 234884800 is about 15325.9518464597. The cubic root of 234884800 is about 616.9997259354. Note that the first 3 decimals are identical.

The spelling of 234884800 in words is "two hundred thirty-four million, eight hundred eighty-four thousand, eight hundred".