234360400 has 60 divisors (see below), whose sum is σ = 568723644. Its totient is φ = 92800000.

The previous prime is 234360391. The next prime is 234360431. The reversal of 234360400 is 4063432.

It can be written as a sum of positive squares in 6 ways, for example, as 49617936 + 184742464 = 7044^2 + 13592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37500 + ... + 43300.

Almost surely, 2^234360400 is an apocalyptic number.

234360400 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 234360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284361822).

234360400 is an abundant number, since it is smaller than the sum of its proper divisors (334363244).

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

234360400 is a wasteful number, since it uses less digits than its factorization.

234360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 234360400 is about 15308.8340509655. The cubic root of 234360400 is about 616.5402159359.

The spelling of 234360400 in words is "two hundred thirty-four million, three hundred sixty thousand, four hundred".