480347580 has 96 divisors (see below), whose sum is σ = 1428489216. Its totient is φ = 120185856.

The previous prime is 480347557. The next prime is 480347603. The reversal of 480347580 is 85743084.

It is an interprime number because it is at equal distance from previous prime (480347557) and next prime (480347603).

It is a super-2 number, since 2×480347580² = 461467595223712800, which contains 22 as substring.

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, 496257 + ... + 497223.

It is an arithmetic number, because the mean of its divisors is an integer number (14880096).

Almost surely, 2^480347580 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 480347580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714244608).

480347580 is an abundant number, since it is smaller than the sum of its proper divisors (948141636).

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

480347580 is a wasteful number, since it uses less digits than its factorization.

480347580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 480347580 is about 21916.8332566546. The cubic root of 480347580 is about 783.1624728700.

The spelling of 480347580 in words is "four hundred eighty million, three hundred forty-seven thousand, five hundred eighty".