234790400 has 240 divisors, whose sum is σ = 671300784. Its totient is φ = 80609280.

The previous prime is 234790399. The next prime is 234790433. The reversal of 234790400 is 4097432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2828759 + ... + 2828841.

Almost surely, 2^234790400 is an apocalyptic number.

234790400 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 234790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335650392).

234790400 is an abundant number, since it is smaller than the sum of its proper divisors (436510384).

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

234790400 is a wasteful number, since it uses less digits than its factorization.

234790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 234790400 is about 15322.8717934988. The cubic root of 234790400 is about 616.9170576391.

The spelling of 234790400 in words is "two hundred thirty-four million, seven hundred ninety thousand, four hundred".