45644040 has 128 divisors (see below), whose sum is σ = 163900800. Its totient is φ = 11232000.

The previous prime is 45644009. The next prime is 45644041. The reversal of 45644040 is 4044654.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45643995 and 45644013.

It is not an unprimeable number, because it can be changed into a prime (45644041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12415 + ... + 15665.

It is an arithmetic number, because the mean of its divisors is an integer number (1280475).

Almost surely, 2^45644040 is an apocalyptic number.

45644040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81950400).

45644040 is an abundant number, since it is smaller than the sum of its proper divisors (118256760).

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

45644040 is a wasteful number, since it uses less digits than its factorization.

45644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 45644040 is about 6756.0373000747. The cubic root of 45644040 is about 357.3781742136.

Adding to 45644040 its reverse (4044654), we get a palindrome (49688694).

The spelling of 45644040 in words is "forty-five million, six hundred forty-four thousand, forty".