480415680 has 168 divisors, whose sum is σ = 1706050944. Its totient is φ = 123955200.

The previous prime is 480415673. The next prime is 480415693. The reversal of 480415680 is 86514084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 86590 + ... + 91970.

Almost surely, 2^480415680 is an apocalyptic number.

480415680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853025472).

480415680 is an abundant number, since it is smaller than the sum of its proper divisors (1225635264).

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

480415680 is a wasteful number, since it uses less digits than its factorization.

480415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480415680 is about 21918.3868019524. The cubic root of 480415680 is about 783.1994813797.

The spelling of 480415680 in words is "four hundred eighty million, four hundred fifteen thousand, six hundred eighty".