480764 has 12 divisors (see below), whose sum is σ = 846384. Its totient is φ = 238944.

The previous prime is 480761. The next prime is 480773. The reversal of 480764 is 467084.

480764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480764³ = 333362753304551232, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480764.

It is not an unprimeable number, because it can be changed into a prime (480761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 824 + ... + 1280.

It is an arithmetic number, because the mean of its divisors is an integer number (70532).

2⁴⁸⁰⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

480764 is a deficient number, since it is larger than the sum of its proper divisors (365620).

480764 is a wasteful number, since it uses less digits than its factorization.

480764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 480764 is about 693.3714733099. The cubic root of 480764 is about 78.3388718985.

The spelling of 480764 in words is "four hundred eighty thousand, seven hundred sixty-four".