45001220 has 96 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 15523200.

The previous prime is 45001219. The next prime is 45001223. The reversal of 45001220 is 2210054.

45001220 = 74² + 75² + ... + 513².

It is a junction number, because it is equal to n+sod(n) for n = 45001195 and 45001204.

It is not an unprimeable number, because it can be changed into a prime (45001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633785 + ... + 633855.

It is an arithmetic number, because the mean of its divisors is an integer number (1130976).

Almost surely, 2^45001220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54286848).

45001220 is an abundant number, since it is smaller than the sum of its proper divisors (63572476).

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

45001220 is a wasteful number, since it uses less digits than its factorization.

45001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45001220 is about 6708.2948653141. The cubic root of 45001220 is about 355.6925447976.

Adding to 45001220 its reverse (2210054), we get a palindrome (47211274).

The spelling of 45001220 in words is "forty-five million, one thousand, two hundred twenty".