45781944 has 64 divisors (see below), whose sum is σ = 129763200. Its totient is φ = 13343616.

The previous prime is 45781921. The next prime is 45781991. The reversal of 45781944 is 44918754.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45781896 and 45781905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2067 + ... + 9789.

It is an arithmetic number, because the mean of its divisors is an integer number (2027550).

Almost surely, 2^45781944 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 45781944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64881600).

45781944 is an abundant number, since it is smaller than the sum of its proper divisors (83981256).

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

45781944 is a wasteful number, since it uses less digits than its factorization.

45781944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7760 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 45781944 is about 6766.2355856118. The cubic root of 45781944 is about 357.7377270286.

The spelling of 45781944 in words is "forty-five million, seven hundred eighty-one thousand, nine hundred forty-four".