234049200 has 480 divisors, whose sum is σ = 996364800. Its totient is φ = 45465600.

The previous prime is 234049181. The next prime is 234049213. The reversal of 234049200 is 2940432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1570726 + ... + 1570874.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^234049200 is an apocalyptic number.

234049200 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 234049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498182400).

234049200 is an abundant number, since it is smaller than the sum of its proper divisors (762315600).

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

234049200 is a wasteful number, since it uses less digits than its factorization.

234049200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 234049200 is about 15298.6666085643. Note that the first 4 decimals coincide. The cubic root of 234049200 is about 616.2672000981.

Adding to 234049200 its reverse (2940432), we get a palindrome (236989632).

The spelling of 234049200 in words is "two hundred thirty-four million, forty-nine thousand, two hundred".