480305076 has 96 divisors (see below), whose sum is σ = 1194480000. Its totient is φ = 149979648.

The previous prime is 480305057. The next prime is 480305087. The reversal of 480305076 is 670503084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3059190 + ... + 3059346.

It is an arithmetic number, because the mean of its divisors is an integer number (12442500).

Almost surely, 2^480305076 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 480305076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597240000).

480305076 is an abundant number, since it is smaller than the sum of its proper divisors (714174924).

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

480305076 is a wasteful number, since it uses less digits than its factorization.

480305076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 480305076 is about 21915.8635695699. The cubic root of 480305076 is about 783.1393725700.

The spelling of 480305076 in words is "four hundred eighty million, three hundred five thousand, seventy-six".