480667164 has 12 divisors (see below), whose sum is σ = 1121556744. Its totient is φ = 160222384.

The previous prime is 480667157. The next prime is 480667171. The reversal of 480667164 is 461766084.

It is an interprime number because it is at equal distance from previous prime (480667157) and next prime (480667171).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×480667164³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20027787 + ... + 20027810.

It is an arithmetic number, because the mean of its divisors is an integer number (93463062).

Almost surely, 2^480667164 is an apocalyptic number.

It is an amenable number.

480667164 is an abundant number, since it is smaller than the sum of its proper divisors (640889580).

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

480667164 is a wasteful number, since it uses less digits than its factorization.

480667164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40055604 (or 40055602 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 480667164 is about 21924.1228786923. The cubic root of 480667164 is about 783.3361184550.

The spelling of 480667164 in words is "four hundred eighty million, six hundred sixty-seven thousand, one hundred sixty-four".