480772 has 6 divisors (see below), whose sum is σ = 841358. Its totient is φ = 240384.

The previous prime is 480761. The next prime is 480773. The reversal of 480772 is 277084.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 148996 = 576^2 + 386^2 .

It is a super-3 number, since 3×480772³ = 333379395231178944, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480772.

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 as a sum of consecutive naturals, namely, 60093 + ... + 60100.

2⁴⁸⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

480772 is a deficient number, since it is larger than the sum of its proper divisors (360586).

480772 is a wasteful number, since it uses less digits than its factorization.

480772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120197 (or 120195 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 480772 is about 693.3772421994. The cubic root of 480772 is about 78.3393064204.

The spelling of 480772 in words is "four hundred eighty thousand, seven hundred seventy-two".