416882980 has 12 divisors (see below), whose sum is σ = 875454300. Its totient is φ = 166753184.

The previous prime is 416882953. The next prime is 416882987. The reversal of 416882980 is 89288614.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 366416164 = 7104^2 + 19142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 416882980.

It is not an unprimeable number, because it can be changed into a prime (416882987) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10422055 + ... + 10422094.

It is an arithmetic number, because the mean of its divisors is an integer number (72954525).

Almost surely, 2^416882980 is an apocalyptic number.

It is an amenable number.

416882980 is an abundant number, since it is smaller than the sum of its proper divisors (458571320).

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

416882980 is a wasteful number, since it uses less digits than its factorization.

416882980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20844158 (or 20844156 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 416882980 is about 20417.7124085927. The cubic root of 416882980 is about 747.0300204121.

The spelling of 416882980 in words is "four hundred sixteen million, eight hundred eighty-two thousand, nine hundred eighty".