480346860 has 192 divisors, whose sum is σ = 1610219520. Its totient is φ = 104682240.

The previous prime is 480346799. The next prime is 480346871. The reversal of 480346860 is 68643084.

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 63 ways as a sum of consecutive naturals, for example, 1028347 + ... + 1028813.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^480346860 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 480346860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805109760).

480346860 is an abundant number, since it is smaller than the sum of its proper divisors (1129872660).

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

480346860 is a wasteful number, since it uses less digits than its factorization.

480346860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 480346860 is about 21916.8168309178. The cubic root of 480346860 is about 783.1620815719.

The spelling of 480346860 in words is "four hundred eighty million, three hundred forty-six thousand, eight hundred sixty".