46566980 has 48 divisors (see below), whose sum is σ = 101288880. Its totient is φ = 17971200.

The previous prime is 46566977. The next prime is 46567009. The reversal of 46566980 is 8966564.

It can be written as a sum of positive squares in 8 ways, for example, as 5837056 + 40729924 = 2416^2 + 6382^2 .

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 15 ways as a sum of consecutive naturals, for example, 89120 + ... + 89640.

It is an arithmetic number, because the mean of its divisors is an integer number (2110185).

Almost surely, 2^46566980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46566980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50644440).

46566980 is an abundant number, since it is smaller than the sum of its proper divisors (54721900).

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

46566980 is a wasteful number, since it uses less digits than its factorization.

46566980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 46566980 is about 6824.0002930832. Note that the first 3 decimals coincide. The cubic root of 46566980 is about 359.7708933204.

The spelling of 46566980 in words is "forty-six million, five hundred sixty-six thousand, nine hundred eighty".