45806976 has 96 divisors (see below), whose sum is σ = 139627800. Its totient is φ = 14364672.

The previous prime is 45806947. The next prime is 45806977. The reversal of 45806976 is 67960854.

45806976 = 289² + 290² + ... + 544².

45806976 is a `hidden beast` number, since 4 + 580 + 69 + 7 + 6 = 666.

45806976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45806977) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18415 + ... + 20753.

Almost surely, 2^45806976 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 45806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69813900).

45806976 is an abundant number, since it is smaller than the sum of its proper divisors (93820824).

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

45806976 is a wasteful number, since it uses less digits than its factorization.

45806976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45806976 is about 6768.0851058479. The cubic root of 45806976 is about 357.8029147309.

The spelling of 45806976 in words is "forty-five million, eight hundred six thousand, nine hundred seventy-six".