45544400 has 90 divisors (see below), whose sum is σ = 120399846. Its totient is φ = 16544000.

The previous prime is 45544397. The next prime is 45544403. The reversal of 45544400 is 444554.

It is an interprime number because it is at equal distance from previous prime (45544397) and next prime (45544403).

It can be written as a sum of positive squares in 3 ways, for example, as 4276624 + 41267776 = 2068^2 + 6424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45544400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45544403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47930 + ... + 48870.

Almost surely, 2^45544400 is an apocalyptic number.

45544400 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 45544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60199923).

45544400 is an abundant number, since it is smaller than the sum of its proper divisors (74855446).

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

45544400 is a wasteful number, since it uses less digits than its factorization.

45544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 45544400 is about 6748.6591260783. The cubic root of 45544400 is about 357.1179350228.

Adding to 45544400 its reverse (444554), we get a palindrome (45988954).

It can be divided in two parts, 45 and 544400, that added together give a palindrome (544445).

The spelling of 45544400 in words is "forty-five million, five hundred forty-four thousand, four hundred".