45205944 has 64 divisors (see below), whose sum is σ = 132330240. Its totient is φ = 12599040.

The previous prime is 45205939. The next prime is 45205949. The reversal of 45205944 is 44950254.

45205944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45205939) and next prime (45205949).

It is a super-2 number, since 2×45205944² = 4087154745862272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3607 + ... + 10169.

It is an arithmetic number, because the mean of its divisors is an integer number (2067660).

Almost surely, 2^45205944 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 45205944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66165120).

45205944 is an abundant number, since it is smaller than the sum of its proper divisors (87124296).

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

45205944 is a wasteful number, since it uses less digits than its factorization.

45205944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 45205944 is about 6723.5365693956. The cubic root of 45205944 is about 356.2311128183.

The spelling of 45205944 in words is "forty-five million, two hundred five thousand, nine hundred forty-four".