45330084 has 72 divisors (see below), whose sum is σ = 120849120. Its totient is φ = 14693616.

The previous prime is 45330083. The next prime is 45330097. The reversal of 45330084 is 48003354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45330083) 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, 199579 + ... + 199805.

It is an arithmetic number, because the mean of its divisors is an integer number (1678460).

Almost surely, 2^45330084 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 45330084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60424560).

45330084 is an abundant number, since it is smaller than the sum of its proper divisors (75519036).

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

45330084 is a wasteful number, since it uses less digits than its factorization.

45330084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45330084 is about 6732.7619889611. The cubic root of 45330084 is about 356.5568967622.

The spelling of 45330084 in words is "forty-five million, three hundred thirty thousand, eighty-four".