45202320 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 11335680.

The previous prime is 45202307. The next prime is 45202343. The reversal of 45202320 is 2320254.

45202320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 45202293 and 45202302.

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 31 ways as a sum of consecutive naturals, for example, 36105 + ... + 37335.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^45202320 is an apocalyptic number.

45202320 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 45202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

45202320 is an abundant number, since it is smaller than the sum of its proper divisors (119787120).

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

45202320 is a wasteful number, since it uses less digits than its factorization.

45202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45202320 is about 6723.2670629687. The cubic root of 45202320 is about 356.2215933028.

Adding to 45202320 its reverse (2320254), we get a palindrome (47522574).

The spelling of 45202320 in words is "forty-five million, two hundred two thousand, three hundred twenty".