445626544 has 120 divisors (see below), whose sum is σ = 999217296. Its totient is φ = 192192000.

The previous prime is 445626527. The next prime is 445626563.

It is a happy number.

445626544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445626497 and 445626506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4412094 + ... + 4412194.

Almost surely, 2^445626544 is an apocalyptic number.

445626544 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 445626544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499608648).

445626544 is an abundant number, since it is smaller than the sum of its proper divisors (553590752).

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

445626544 is a wasteful number, since it uses less digits than its factorization.

445626544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 445626544 is about 21109.8684031900. The cubic root of 445626544 is about 763.8188125109.

The spelling of 445626544 in words is "four hundred forty-five million, six hundred twenty-six thousand, five hundred forty-four".