45004284 has 144 divisors (see below), whose sum is σ = 132455232. Its totient is φ = 12773376.

The previous prime is 45004249. The next prime is 45004291. The reversal of 45004284 is 48240054.

It is a super-3 number, since 3×45004284³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398212 + ... + 398324.

It is an arithmetic number, because the mean of its divisors is an integer number (919828).

Almost surely, 2^45004284 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 45004284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66227616).

45004284 is an abundant number, since it is smaller than the sum of its proper divisors (87450948).

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

45004284 is a wasteful number, since it uses less digits than its factorization.

45004284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

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

The square root of 45004284 is about 6708.5232354073. The cubic root of 45004284 is about 355.7006172989.

The spelling of 45004284 in words is "forty-five million, four thousand, two hundred eighty-four".