45673264 has 120 divisors (see below), whose sum is σ = 116183040. Its totient is φ = 16982784.

The previous prime is 45673259. The next prime is 45673279. The reversal of 45673264 is 46237654.

45673264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (120960) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 359569 + ... + 359695.

It is an arithmetic number, because the mean of its divisors is an integer number (968192).

Almost surely, 2^45673264 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 45673264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58091520).

45673264 is an abundant number, since it is smaller than the sum of its proper divisors (70509776).

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

45673264 is a wasteful number, since it uses less digits than its factorization.

45673264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 45673264 is about 6758.1997602912. The cubic root of 45673264 is about 357.4544294531.

The spelling of 45673264 in words is "forty-five million, six hundred seventy-three thousand, two hundred sixty-four".