480454164 has 36 divisors (see below), whose sum is σ = 1217576724. Its totient is φ = 159743232.

The previous prime is 480454147. The next prime is 480454201. The reversal of 480454164 is 461454084.

It is a happy number.

480454164 is a `hidden beast` number, since 48 + 0 + 454 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181440900 + 299013264 = 13470^2 + 17292^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2517 + ... + 31100.

Almost surely, 2^480454164 is an apocalyptic number.

It is an amenable number.

480454164 is an abundant number, since it is smaller than the sum of its proper divisors (737122560).

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

480454164 is a wasteful number, since it uses less digits than its factorization.

480454164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34024 (or 34019 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 480454164 is about 21919.2646774476. The cubic root of 480454164 is about 783.2203937168.

The spelling of 480454164 in words is "four hundred eighty million, four hundred fifty-four thousand, one hundred sixty-four".