45318240 has 144 divisors (see below), whose sum is σ = 168766416. Its totient is φ = 10982400.

The previous prime is 45318239. The next prime is 45318269. The reversal of 45318240 is 4281354.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14410 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (1171989).

Almost surely, 2^45318240 is an apocalyptic number.

45318240 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 45318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84383208).

45318240 is an abundant number, since it is smaller than the sum of its proper divisors (123448176).

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

45318240 is a wasteful number, since it uses less digits than its factorization.

45318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45318240 is about 6731.8823519132. The cubic root of 45318240 is about 356.5258399204.

Adding to 45318240 its reverse (4281354), we get a palindrome (49599594).

The spelling of 45318240 in words is "forty-five million, three hundred eighteen thousand, two hundred forty".