45339360 has 192 divisors, whose sum is σ = 161409024. Its totient is φ = 10598400.

The previous prime is 45339347. The next prime is 45339361. The reversal of 45339360 is 6393354.

45339360 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45339361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 163542 + ... + 163818.

It is an arithmetic number, because the mean of its divisors is an integer number (840672).

Almost surely, 2^45339360 is an apocalyptic number.

45339360 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 45339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80704512).

45339360 is an abundant number, since it is smaller than the sum of its proper divisors (116069664).

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

45339360 is a wasteful number, since it uses less digits than its factorization.

45339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 45339360 is about 6733.4508240575. The cubic root of 45339360 is about 356.5812161245.

The spelling of 45339360 in words is "forty-five million, three hundred thirty-nine thousand, three hundred sixty".