45444000 has 192 divisors, whose sum is σ = 170456832. Its totient is φ = 10368000.

The previous prime is 45443999. The next prime is 45444011. The reversal of 45444000 is 44454.

45444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83730 + ... + 84270.

It is an arithmetic number, because the mean of its divisors is an integer number (887796).

Almost surely, 2^45444000 is an apocalyptic number.

45444000 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 45444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85228416).

45444000 is an abundant number, since it is smaller than the sum of its proper divisors (125012832).

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

45444000 is a wasteful number, since it uses less digits than its factorization.

45444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 45444000 is about 6741.2165074265. The cubic root of 45444000 is about 356.8553266708.

Adding to 45444000 its reverse (44454), we get a palindrome (45488454).

The spelling of 45444000 in words is "forty-five million, four hundred forty-four thousand".