234406800 has 360 divisors, whose sum is σ = 899496000. Its totient is φ = 56263680.

The previous prime is 234406787. The next prime is 234406801. The reversal of 234406800 is 8604432.

234406800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×234406800³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (234406801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1573126 + ... + 1573274.

It is an arithmetic number, because the mean of its divisors is an integer number (2498600).

Almost surely, 2^234406800 is an apocalyptic number.

234406800 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 234406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449748000).

234406800 is an abundant number, since it is smaller than the sum of its proper divisors (665089200).

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

234406800 is a wasteful number, since it uses less digits than its factorization.

234406800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 234406800 is about 15310.3494408194. The cubic root of 234406800 is about 616.5809019594.

The spelling of 234406800 in words is "two hundred thirty-four million, four hundred six thousand, eight hundred".