45508320 has 432 divisors, whose sum is σ = 194240592. Its totient is φ = 9584640.

The previous prime is 45508313. The next prime is 45508339. The reversal of 45508320 is 2380554.

45508320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 2676952 + ... + 2676968.

It is an arithmetic number, because the mean of its divisors is an integer number (449631).

Almost surely, 2^45508320 is an apocalyptic number.

45508320 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 45508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97120296).

45508320 is an abundant number, since it is smaller than the sum of its proper divisors (148732272).

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

45508320 is a wasteful number, since it uses less digits than its factorization.

45508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45508320 is about 6745.9854728572. The cubic root of 45508320 is about 357.0236078826.

Adding to 45508320 its reverse (2380554), we get a palindrome (47888874).

The spelling of 45508320 in words is "forty-five million, five hundred eight thousand, three hundred twenty".