45000564 has 48 divisors (see below), whose sum is σ = 127064448. Its totient is φ = 12100608.

The previous prime is 45000563. The next prime is 45000577. The reversal of 45000564 is 46500054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14329 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (2647176).

Almost surely, 2^45000564 is an apocalyptic number.

It is an amenable number.

45000564 is an abundant number, since it is smaller than the sum of its proper divisors (82063884).

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

45000564 is a wasteful number, since it uses less digits than its factorization.

45000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31544 (or 31542 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45000564 is about 6708.2459704456. The cubic root of 45000564 is about 355.6908164338.

The spelling of 45000564 in words is "forty-five million, five hundred sixty-four", and thus it is an aban number.