45052320 has 96 divisors (see below), whose sum is σ = 145006848. Its totient is φ = 11752448.

The previous prime is 45052307. The next prime is 45052321. The reversal of 45052320 is 2325054.

45052320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45052321) 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 15 ways as a sum of consecutive naturals, for example, 21562 + ... + 23558.

It is an arithmetic number, because the mean of its divisors is an integer number (1510488).

Almost surely, 2^45052320 is an apocalyptic number.

45052320 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 45052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72503424).

45052320 is an abundant number, since it is smaller than the sum of its proper divisors (99954528).

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

45052320 is a wasteful number, since it uses less digits than its factorization.

45052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45052320 is about 6712.1025021971. The cubic root of 45052320 is about 355.8271264353.

Adding to 45052320 its reverse (2325054), we get a palindrome (47377374).

The spelling of 45052320 in words is "forty-five million, fifty-two thousand, three hundred twenty".