480612772 has 12 divisors (see below), whose sum is σ = 841771980. Its totient is φ = 240106496.

The previous prime is 480612731. The next prime is 480612817. The reversal of 480612772 is 277216084.

It can be written as a sum of positive squares in 2 ways, for example, as 148498596 + 332114176 = 12186^2 + 18224^2 .

It is a super-3 number, since 3×480612772³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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, 44497 + ... + 54232.

It is an arithmetic number, because the mean of its divisors is an integer number (70147665).

Almost surely, 2^480612772 is an apocalyptic number.

It is an amenable number.

480612772 is a deficient number, since it is larger than the sum of its proper divisors (361159208).

480612772 is a wasteful number, since it uses less digits than its factorization.

480612772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99950 (or 99948 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 480612772 is about 21922.8823834823. The cubic root of 480612772 is about 783.3065700629.

It can be divided in two parts, 4806 and 12772, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 480612772 in words is "four hundred eighty million, six hundred twelve thousand, seven hundred seventy-two".