45004050 has 216 divisors, whose sum is σ = 152435556. Its totient is φ = 9434880.

The previous prime is 45004039. The next prime is 45004067. The reversal of 45004050 is 5040054.

It is a happy number.

45004050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5049009 + 39955041 = 2247^2 + 6321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

45004050 is a modest number, since divided by 4050 gives 450 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 286572 + ... + 286728.

Almost surely, 2^45004050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45004050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76217778).

45004050 is an abundant number, since it is smaller than the sum of its proper divisors (107431506).

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

45004050 is a wasteful number, since it uses less digits than its factorization.

45004050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45004050 is about 6708.5057948846. The cubic root of 45004050 is about 355.7000008088.

The spelling of 45004050 in words is "forty-five million, four thousand, fifty".