45966980 has 24 divisors (see below), whose sum is σ = 102209688. Its totient is φ = 17305088.

The previous prime is 45966979. The next prime is 45967007. The reversal of 45966980 is 8966954.

45966980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2617924 + 43349056 = 1618^2 + 6584^2 .

It is a super-2 number, since 2×45966980² = 4225926500640800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 67259 + ... + 67938.

It is an arithmetic number, because the mean of its divisors is an integer number (4258737).

Almost surely, 2^45966980 is an apocalyptic number.

It is an amenable number.

45966980 is an abundant number, since it is smaller than the sum of its proper divisors (56242708).

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

45966980 is a wasteful number, since it uses less digits than its factorization.

45966980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135223 (or 135221 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 45966980 is about 6779.8952794273. The cubic root of 45966980 is about 358.2190330717.

The spelling of 45966980 in words is "forty-five million, nine hundred sixty-six thousand, nine hundred eighty".