45126444 has 72 divisors (see below), whose sum is σ = 121359168. Its totient is φ = 12941280.

The previous prime is 45126427. The next prime is 45126451. The reversal of 45126444 is 44462154.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47179 + ... + 48125.

It is an arithmetic number, because the mean of its divisors is an integer number (1685544).

Almost surely, 2^45126444 is an apocalyptic number.

45126444 is a gapful number since it is divisible by the number (44) 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 45126444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60679584).

45126444 is an abundant number, since it is smaller than the sum of its proper divisors (76232724).

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

45126444 is a wasteful number, since it uses less digits than its factorization.

45126444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 982 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 45126444 is about 6717.6219006431. The cubic root of 45126444 is about 356.0221654339.

Adding to 45126444 its reverse (44462154), we get a palindrome (89588598).

The spelling of 45126444 in words is "forty-five million, one hundred twenty-six thousand, four hundred forty-four".