234404400 has 120 divisors (see below), whose sum is σ = 755038480. Its totient is φ = 62161920.

The previous prime is 234404393. The next prime is 234404411. The reversal of 234404400 is 4404432.

It is a tau number, because it is divible by the number of its divisors (120).

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, 274374 + ... + 275226.

Almost surely, 2^234404400 is an apocalyptic number.

234404400 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 234404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377519240).

234404400 is an abundant number, since it is smaller than the sum of its proper divisors (520634080).

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

234404400 is a wasteful number, since it uses less digits than its factorization.

234404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 234404400 is about 15310.2710622641. The cubic root of 234404400 is about 616.5787976416.

Adding to 234404400 its reverse (4404432), we get a palindrome (238808832).

The spelling of 234404400 in words is "two hundred thirty-four million, four hundred four thousand, four hundred".