444417552 has 60 divisors (see below), whose sum is σ = 1249275820. Its totient is φ = 147481344.

The previous prime is 444417541. The next prime is 444417593. The reversal of 444417552 is 255714444.

It can be written as a sum of positive squares in 2 ways, for example, as 367258896 + 77158656 = 19164^2 + 8784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 26238 + ... + 39714.

Almost surely, 2^444417552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444417552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624637910).

444417552 is an abundant number, since it is smaller than the sum of its proper divisors (804858268).

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

444417552 is a wasteful number, since it uses less digits than its factorization.

444417552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13711 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 444417552 is about 21081.2132478185. The cubic root of 444417552 is about 763.1274359763.

The spelling of 444417552 in words is "four hundred forty-four million, four hundred seventeen thousand, five hundred fifty-two".