234432400 has 60 divisors (see below), whose sum is σ = 566963092. Its totient is φ = 93150720.

The previous prime is 234432377. The next prime is 234432403. The reversal of 234432400 is 4234432.

It can be written as a sum of positive squares in 6 ways, for example, as 11587216 + 222845184 = 3404^2 + 14928^2 .

It is not an unprimeable number, because it can be changed into a prime (234432403) 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, 60934 + ... + 64666.

Almost surely, 2^234432400 is an apocalyptic number.

234432400 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 234432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481546).

234432400 is an abundant number, since it is smaller than the sum of its proper divisors (332530692).

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

234432400 is a wasteful number, since it uses less digits than its factorization.

234432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 234432400 is about 15311.1854537786. The cubic root of 234432400 is about 616.6033471224.

Adding to 234432400 its reverse (4234432), we get a palindrome (238666832).

The spelling of 234432400 in words is "two hundred thirty-four million, four hundred thirty-two thousand, four hundred".