45265984 has 35 divisors (see below), whose sum is σ = 93032707. Its totient is φ = 21852544.

The previous prime is 45265981. The next prime is 45265991. The reversal of 45265984 is 48956254.

The square root of 45265984 is 6728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 45158400 = 328^2 + 6720^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=58.

It is a Duffinian number.

Its product of digits (345600) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 45265984.

It is not an unprimeable number, because it can be changed into a prime (45265981) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1560882 + ... + 1560910.

Almost surely, 2^45265984 is an apocalyptic number.

45265984 is the 6728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45265984

45265984 is an abundant number, since it is smaller than the sum of its proper divisors (47766723).

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

45265984 is an frugal number, since it uses more digits than its factorization.

45265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 31 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The cubic root of 45265984 is about 356.3887517796.

The spelling of 45265984 in words is "forty-five million, two hundred sixty-five thousand, nine hundred eighty-four".