45305316 has 144 divisors (see below), whose sum is σ = 138762624. Its totient is φ = 12192768.

The previous prime is 45305311. The next prime is 45305317. The reversal of 45305316 is 61350354.

45305316 is a `hidden beast` number, since 45 + 305 + 316 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45305316.

It is not an unprimeable number, because it can be changed into a prime (45305311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400876 + ... + 400988.

Almost surely, 2^45305316 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 45305316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69381312).

45305316 is an abundant number, since it is smaller than the sum of its proper divisors (93457308).

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

45305316 is a wasteful number, since it uses less digits than its factorization.

45305316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 45305316 is about 6730.9223736424. The cubic root of 45305316 is about 356.4919449733.

The spelling of 45305316 in words is "forty-five million, three hundred five thousand, three hundred sixteen".