480234564 has 36 divisors (see below), whose sum is σ = 1285335324. Its totient is φ = 150661632.

The previous prime is 480234563. The next prime is 480234607. The reversal of 480234564 is 465432084.

It can be written as a sum of positive squares in 2 ways, for example, as 347524164 + 132710400 = 18642^2 + 11520^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480234563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391737 + ... + 392960.

It is an arithmetic number, because the mean of its divisors is an integer number (35703759).

Almost surely, 2^480234564 is an apocalyptic number.

It is an amenable number.

480234564 is an abundant number, since it is smaller than the sum of its proper divisors (805100760).

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

480234564 is a wasteful number, since it uses less digits than its factorization.

480234564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784724 (or 784719 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 480234564 is about 21914.2548127925. The cubic root of 480234564 is about 783.1010473272.

The spelling of 480234564 in words is "four hundred eighty million, two hundred thirty-four thousand, five hundred sixty-four".