45518940 has 72 divisors (see below), whose sum is σ = 141309168. Its totient is φ = 11854080.

The previous prime is 45518939. The next prime is 45518947. The reversal of 45518940 is 4981554.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45518895 and 45518904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45518947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4800 + ... + 10680.

Almost surely, 2^45518940 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 45518940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70654584).

45518940 is an abundant number, since it is smaller than the sum of its proper divisors (95790228).

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

45518940 is a wasteful number, since it uses less digits than its factorization.

45518940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45518940 is about 6746.7725617513. The cubic root of 45518940 is about 357.0513778656.

The spelling of 45518940 in words is "forty-five million, five hundred eighteen thousand, nine hundred forty".