45039360 has 144 divisors (see below), whose sum is σ = 148198176. Its totient is φ = 11649024.

The previous prime is 45039317. The next prime is 45039383. The reversal of 45039360 is 6393054.

It is a happy number.

45039360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 141922 + ... + 142238.

It is an arithmetic number, because the mean of its divisors is an integer number (1029154).

Almost surely, 2^45039360 is an apocalyptic number.

45039360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74099088).

45039360 is an abundant number, since it is smaller than the sum of its proper divisors (103158816).

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

45039360 is a wasteful number, since it uses less digits than its factorization.

45039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 45039360 is about 6711.1370124592. The cubic root of 45039360 is about 355.7930034288.

The spelling of 45039360 in words is "forty-five million, thirty-nine thousand, three hundred sixty".