234396864 has 168 divisors, whose sum is σ = 755550432. Its totient is φ = 68935680.

The previous prime is 234396857. The next prime is 234396907. The reversal of 234396864 is 468693432.

234396864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 171544 + ... + 172904.

It is an arithmetic number, because the mean of its divisors is an integer number (4497324).

Almost surely, 2^234396864 is an apocalyptic number.

234396864 is a gapful number since it is divisible by the number (24) 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 234396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377775216).

234396864 is an abundant number, since it is smaller than the sum of its proper divisors (521153568).

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

234396864 is a wasteful number, since it uses less digits than its factorization.

234396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1402 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 234396864 is about 15310.0249509921. The cubic root of 234396864 is about 616.5721899903.

It can be divided in two parts, 23439 and 6864, that added together give a palindrome (30303).

The spelling of 234396864 in words is "two hundred thirty-four million, three hundred ninety-six thousand, eight hundred sixty-four".