234972864 has 168 divisors, whose sum is σ = 778690848. Its totient is φ = 66355200.

The previous prime is 234972863. The next prime is 234972883. The reversal of 234972864 is 468279432.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (234972863) 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, 406944 + ... + 407520.

Almost surely, 2^234972864 is an apocalyptic number.

234972864 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 234972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389345424).

234972864 is an abundant number, since it is smaller than the sum of its proper divisors (543717984).

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

234972864 is a wasteful number, since it uses less digits than its factorization.

234972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 234972864 is about 15328.8246124744. The cubic root of 234972864 is about 617.0768256806.

The spelling of 234972864 in words is "two hundred thirty-four million, nine hundred seventy-two thousand, eight hundred sixty-four".