45005220 has 120 divisors (see below), whose sum is σ = 152114424. Its totient is φ = 11073024.

The previous prime is 45005203. The next prime is 45005263. The reversal of 45005220 is 2250054.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 43877376 = 1062^2 + 6624^2 .

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 = 45005193 and 45005202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19992 + ... + 22128.

Almost surely, 2^45005220 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 45005220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76057212).

45005220 is an abundant number, since it is smaller than the sum of its proper divisors (107109204).

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

45005220 is a wasteful number, since it uses less digits than its factorization.

45005220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45005220 is about 6708.5929970449. The cubic root of 45005220 is about 355.7030832380.

Adding to 45005220 its reverse (2250054), we get a palindrome (47255274).

The spelling of 45005220 in words is "forty-five million, five thousand, two hundred twenty".