480199680 has 264 divisors, whose sum is σ = 1764628632. Its totient is φ = 120324096.

The previous prime is 480199679. The next prime is 480199693. The reversal of 480199680 is 86991084.

480199680 is a `hidden beast` number, since 480 + 1 + 9 + 96 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 474891264 = 2304^2 + 21792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783054 + ... + 783666.

Almost surely, 2^480199680 is an apocalyptic number.

480199680 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 480199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882314316).

480199680 is an abundant number, since it is smaller than the sum of its proper divisors (1284428952).

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

480199680 is a wasteful number, since it uses less digits than its factorization.

480199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 480199680 is about 21913.4588780503. The cubic root of 480199680 is about 783.0820855111.

The spelling of 480199680 in words is "four hundred eighty million, one hundred ninety-nine thousand, six hundred eighty".