234470400 has 264 divisors, whose sum is σ = 804127104. Its totient is φ = 60211200.

The previous prime is 234470381. The next prime is 234470417. The reversal of 234470400 is 4074432.

234470400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3302365 + ... + 3302435.

It is an arithmetic number, because the mean of its divisors is an integer number (3045936).

Almost surely, 2^234470400 is an apocalyptic number.

234470400 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 234470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402063552).

234470400 is an abundant number, since it is smaller than the sum of its proper divisors (569656704).

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

234470400 is a wasteful number, since it uses less digits than its factorization.

234470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 234470400 is about 15312.4263263534. The cubic root of 234470400 is about 616.6366611486.

The spelling of 234470400 in words is "two hundred thirty-four million, four hundred seventy thousand, four hundred".