45084420 has 108 divisors (see below), whose sum is σ = 141113700. Its totient is φ = 11650560.

The previous prime is 45084419. The next prime is 45084427. The reversal of 45084420 is 2448054.

It can be written as a sum of positive squares in 6 ways, for example, as 25583364 + 19501056 = 5058^2 + 4416^2 .

It is not an unprimeable number, because it can be changed into a prime (45084427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302506 + ... + 302654.

Almost surely, 2^45084420 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 45084420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70556850).

45084420 is an abundant number, since it is smaller than the sum of its proper divisors (96029280).

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

45084420 is a wasteful number, since it uses less digits than its factorization.

45084420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45084420 is about 6714.4932794664. The cubic root of 45084420 is about 355.9116158990.

The spelling of 45084420 in words is "forty-five million, eighty-four thousand, four hundred twenty".