234009360 has 240 divisors, whose sum is σ = 883943424. Its totient is φ = 55047168.

The previous prime is 234009353. The next prime is 234009367. The reversal of 234009360 is 63900432.

234009360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234009353) and next prime (234009367).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (234009367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214737 + ... + 215823.

Almost surely, 2^234009360 is an apocalyptic number.

234009360 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 234009360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441971712).

234009360 is an abundant number, since it is smaller than the sum of its proper divisors (649934064).

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

234009360 is a wasteful number, since it uses less digits than its factorization.

234009360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 234009360 is about 15297.3644788898. The cubic root of 234009360 is about 616.2322309856.

Adding to 234009360 its reverse (63900432), we get a palindrome (297909792).

The spelling of 234009360 in words is "two hundred thirty-four million, nine thousand, three hundred sixty".