480756 has 12 divisors (see below), whose sum is σ = 1121792. Its totient is φ = 160248.

The previous prime is 480749. The next prime is 480761. The reversal of 480756 is 657084.

It is a happy number.

480756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×480756³ = 333346111931763648, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 20020 + ... + 20043.

2⁴⁸⁰⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

480756 is an abundant number, since it is smaller than the sum of its proper divisors (641036).

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

480756 is a wasteful number, since it uses less digits than its factorization.

480756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40070 (or 40068 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 480756 is about 693.3657043725. The cubic root of 480756 is about 78.3384373718.

The spelling of 480756 in words is "four hundred eighty thousand, seven hundred fifty-six".