480196980 has 36 divisors (see below), whose sum is σ = 1456598052. Its totient is φ = 128052480.

The previous prime is 480196949. The next prime is 480196987. The reversal of 480196980 is 89691084.

480196980 is a `hidden beast` number, since 480 + 1 + 96 + 9 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320983056 + 159213924 = 17916^2 + 12618^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×480196980² = 461178279202240800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480196987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1333701 + ... + 1334060.

It is an arithmetic number, because the mean of its divisors is an integer number (40461057).

Almost surely, 2^480196980 is an apocalyptic number.

It is an amenable number.

480196980 is an abundant number, since it is smaller than the sum of its proper divisors (976401072).

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

480196980 is a wasteful number, since it uses less digits than its factorization.

480196980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667776 (or 2667771 counting only the distinct ones).

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

The square root of 480196980 is about 21913.3972719887. The cubic root of 480196980 is about 783.0806178400.

The spelling of 480196980 in words is "four hundred eighty million, one hundred ninety-six thousand, nine hundred eighty".