45809712 has 100 divisors (see below), whose sum is σ = 142838080. Its totient is φ = 14090112.

The previous prime is 45809707. The next prime is 45809717. The reversal of 45809712 is 21790854.

45809712 is a `hidden beast` number, since 4 + 580 + 9 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45809707) and next prime (45809717).

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

It is not an unprimeable number, because it can be changed into a prime (45809717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15489 + ... + 18207.

Almost surely, 2^45809712 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 45809712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71419040).

45809712 is an abundant number, since it is smaller than the sum of its proper divisors (97028368).

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

45809712 is a wasteful number, since it uses less digits than its factorization.

45809712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45809712 is about 6768.2872279477. The cubic root of 45809712 is about 357.8100383131.

The spelling of 45809712 in words is "forty-five million, eight hundred nine thousand, seven hundred twelve".