45305892 has 48 divisors (see below), whose sum is σ = 118932800. Its totient is φ = 15099048.

The previous prime is 45305891. The next prime is 45305903. The reversal of 45305892 is 29850354.

45305892 is a `hidden beast` number, since 45 + 30 + 589 + 2 = 666.

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 (45305891) 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, 6159 + ... + 11337.

Almost surely, 2^45305892 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 45305892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466400).

45305892 is an abundant number, since it is smaller than the sum of its proper divisors (73626908).

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

45305892 is an equidigital number, since it uses as much as digits as its factorization.

45305892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 45305892 is about 6730.9651611043. The cubic root of 45305892 is about 356.4934557489.

The spelling of 45305892 in words is "forty-five million, three hundred five thousand, eight hundred ninety-two".