480776 has 16 divisors (see below), whose sum is σ = 949200. Its totient is φ = 227664.

The previous prime is 480773. The next prime is 480787. The reversal of 480776 is 677084.

It is a super-3 number, since 3×480776³ = 333387716402185728, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (480773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1430 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (59325).

2⁴⁸⁰⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

480776 is a deficient number, since it is larger than the sum of its proper divisors (468424).

480776 is a wasteful number, since it uses less digits than its factorization.

480776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 480776 is about 693.3801266261. The cubic root of 480776 is about 78.3395236796.

The spelling of 480776 in words is "four hundred eighty thousand, seven hundred seventy-six".