45084984 has 96 divisors (see below), whose sum is σ = 133499520. Its totient is φ = 12422592.

The previous prime is 45084979. The next prime is 45084989. The reversal of 45084984 is 48948054.

It is an interprime number because it is at equal distance from previous prime (45084979) and next prime (45084989).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45084989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570657 + ... + 570735.

It is an arithmetic number, because the mean of its divisors is an integer number (1390620).

Almost surely, 2^45084984 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 45084984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66749760).

45084984 is an abundant number, since it is smaller than the sum of its proper divisors (88414536).

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

45084984 is a wasteful number, since it uses less digits than its factorization.

45084984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 45084984 is about 6714.5352780367. The cubic root of 45084984 is about 355.9131000283.

The spelling of 45084984 in words is "forty-five million, eighty-four thousand, nine hundred eighty-four".