234152800 has 72 divisors (see below), whose sum is σ = 653301936. Its totient is φ = 80279040.

The previous prime is 234152797. The next prime is 234152839. The reversal of 234152800 is 8251432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15307 + ... + 26506.

It is an arithmetic number, because the mean of its divisors is an integer number (9073638).

Almost surely, 2^234152800 is an apocalyptic number.

234152800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234152800 is an abundant number, since it is smaller than the sum of its proper divisors (419149136).

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

234152800 is a wasteful number, since it uses less digits than its factorization.

234152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41840 (or 41827 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 234152800 is about 15302.0521499569. The cubic root of 234152800 is about 616.3581152619.

The spelling of 234152800 in words is "two hundred thirty-four million, one hundred fifty-two thousand, eight hundred".