45344000 has 144 divisors (see below), whose sum is σ = 122762640. Its totient is φ = 16588800.

The previous prime is 45343993. The next prime is 45344009. The reversal of 45344000 is 44354.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18800896 + 26543104 = 4336^2 + 5152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45344009) 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 15 ways as a sum of consecutive naturals, for example, 415946 + ... + 416054.

Almost surely, 2^45344000 is an apocalyptic number.

45344000 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 45344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61381320).

45344000 is an abundant number, since it is smaller than the sum of its proper divisors (77418640).

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

45344000 is a wasteful number, since it uses less digits than its factorization.

45344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 45344000 is about 6733.7953636861. The cubic root of 45344000 is about 356.5933798045.

Adding to 45344000 its reverse (44354), we get a palindrome (45388354).

The spelling of 45344000 in words is "forty-five million, three hundred forty-four thousand".