45220320 has 144 divisors (see below), whose sum is σ = 159449472. Its totient is φ = 11658240.

The previous prime is 45220319. The next prime is 45220363. The reversal of 45220320 is 2302254.

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

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 = 45220293 and 45220302.

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, 44134 + ... + 45146.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 2^45220320 is an apocalyptic number.

45220320 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 45220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79724736).

45220320 is an abundant number, since it is smaller than the sum of its proper divisors (114229152).

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

45220320 is a wasteful number, since it uses less digits than its factorization.

45220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1054 counting only the distinct ones).

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

The square root of 45220320 is about 6724.6055646409. The cubic root of 45220320 is about 356.2688706532.

Adding to 45220320 its reverse (2302254), we get a palindrome (47522574).

The spelling of 45220320 in words is "forty-five million, two hundred twenty thousand, three hundred twenty".