480106464 has 48 divisors (see below), whose sum is σ = 1263806208. Its totient is φ = 159587712.

The previous prime is 480106453. The next prime is 480106477. The reversal of 480106464 is 464601084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28419 + ... + 42045.

It is an arithmetic number, because the mean of its divisors is an integer number (26329296).

Almost surely, 2^480106464 is an apocalyptic number.

It is an amenable number.

480106464 is an abundant number, since it is smaller than the sum of its proper divisors (783699744).

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

480106464 is a wasteful number, since it uses less digits than its factorization.

480106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 13999 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 480106464 is about 21911.3318627600. The cubic root of 480106464 is about 783.0314117973.

The spelling of 480106464 in words is "four hundred eighty million, one hundred six thousand, four hundred sixty-four".