480879620 has 48 divisors (see below), whose sum is σ = 1094914800. Its totient is φ = 176349696.

The previous prime is 480879617. The next prime is 480879631. The reversal of 480879620 is 26978084.

It can be written as a sum of positive squares in 8 ways, for example, as 147671104 + 333208516 = 12152^2 + 18254^2 .

It is a super-3 number, since 3×480879620³ (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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32534 + ... + 44946.

It is an arithmetic number, because the mean of its divisors is an integer number (22810725).

Almost surely, 2^480879620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480879620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547457400).

480879620 is an abundant number, since it is smaller than the sum of its proper divisors (614035180).

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

480879620 is a wasteful number, since it uses less digits than its factorization.

480879620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12584 (or 12582 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 480879620 is about 21928.9675999578. The cubic root of 480879620 is about 783.4515135813.

Subtracting from 480879620 its product of nonzero digits (193536), we obtain a palindrome (480686084).

The spelling of 480879620 in words is "four hundred eighty million, eight hundred seventy-nine thousand, six hundred twenty".