45180576 has 144 divisors (see below), whose sum is σ = 149333184. Its totient is φ = 12690432.

The previous prime is 45180557. The next prime is 45180581. The reversal of 45180576 is 67508154.

45180576 is a `hidden beast` number, since 4 + 5 + 1 + 80 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45180576.

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 23 ways as a sum of consecutive naturals, for example, 147015 + ... + 147321.

It is an arithmetic number, because the mean of its divisors is an integer number (1037036).

Almost surely, 2^45180576 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 45180576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74666592).

45180576 is an abundant number, since it is smaller than the sum of its proper divisors (104152608).

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

45180576 is a wasteful number, since it uses less digits than its factorization.

45180576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45180576 is about 6721.6497974828. The cubic root of 45180576 is about 356.1644655223.

The spelling of 45180576 in words is "forty-five million, one hundred eighty thousand, five hundred seventy-six".