45005020 has 48 divisors (see below), whose sum is σ = 99283968. Its totient is φ = 17103680.

The previous prime is 45005017. The next prime is 45005027. The reversal of 45005020 is 2050054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45004985 and 45005003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45005027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104205 + ... + 104635.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 2^45005020 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 45005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641984).

45005020 is an abundant number, since it is smaller than the sum of its proper divisors (54278948).

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

45005020 is a wasteful number, since it uses less digits than its factorization.

45005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 45005020 is about 6708.5780907730. The cubic root of 45005020 is about 355.7025563308.

Adding to 45005020 its reverse (2050054), we get a palindrome (47055074).

The spelling of 45005020 in words is "forty-five million, five thousand, twenty".