45084450 has 72 divisors (see below), whose sum is σ = 115023888. Its totient is φ = 11685440.

The previous prime is 45084449. The next prime is 45084451. The reversal of 45084450 is 5448054.

It is an interprime number because it is at equal distance from previous prime (45084449) and next prime (45084451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45084451) 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, 421297 + ... + 421403.

It is an arithmetic number, because the mean of its divisors is an integer number (1597554).

Almost surely, 2^45084450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45084450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57511944).

45084450 is an abundant number, since it is smaller than the sum of its proper divisors (69939438).

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

45084450 is a wasteful number, since it uses less digits than its factorization.

45084450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45084450 is about 6714.4955134396. The cubic root of 45084450 is about 355.9116948424.

The spelling of 45084450 in words is "forty-five million, eighty-four thousand, four hundred fifty".