480305072 has 40 divisors (see below), whose sum is σ = 1034517120. Its totient is φ = 214525440.

The previous prime is 480305057. The next prime is 480305087. The reversal of 480305072 is 270503084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480305057) and next prime (480305087).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30797 + ... + 43692.

It is an arithmetic number, because the mean of its divisors is an integer number (25862928).

Almost surely, 2^480305072 is an apocalyptic number.

It is an amenable number.

480305072 is an abundant number, since it is smaller than the sum of its proper divisors (554212048).

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

480305072 is a wasteful number, since it uses less digits than its factorization.

480305072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74541 (or 74535 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 480305072 is about 21915.8634783118. The cubic root of 480305072 is about 783.1393703960.

The spelling of 480305072 in words is "four hundred eighty million, three hundred five thousand, seventy-two".