234858400 has 144 divisors (see below), whose sum is σ = 694080576. Its totient is φ = 75755520.

The previous prime is 234858391. The next prime is 234858401. The reversal of 234858400 is 4858432.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (234858401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93967 + ... + 96433.

It is an arithmetic number, because the mean of its divisors is an integer number (4820004).

Almost surely, 2^234858400 is an apocalyptic number.

234858400 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 234858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347040288).

234858400 is an abundant number, since it is smaller than the sum of its proper divisors (459222176).

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

234858400 is a wasteful number, since it uses less digits than its factorization.

234858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 234858400 is about 15325.0905380686. The cubic root of 234858400 is about 616.9766090670.

The spelling of 234858400 in words is "two hundred thirty-four million, eight hundred fifty-eight thousand, four hundred".