444132520 has 64 divisors (see below), whose sum is σ = 1082607120. Its totient is φ = 163006464.

The previous prime is 444132499. The next prime is 444132523. The reversal of 444132520 is 25231444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 195944004 + 248188516 = 13998^2 + 15754^2 .

It is not an unprimeable number, because it can be changed into a prime (444132523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87492 + ... + 92428.

Almost surely, 2^444132520 is an apocalyptic number.

444132520 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 444132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541303560).

444132520 is an abundant number, since it is smaller than the sum of its proper divisors (638474600).

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

444132520 is a wasteful number, since it uses less digits than its factorization.

444132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 444132520 is about 21074.4518315424. The cubic root of 444132520 is about 762.9642544091.

Adding to 444132520 its reverse (25231444), we get a palindrome (469363964).

The spelling of 444132520 in words is "four hundred forty-four million, one hundred thirty-two thousand, five hundred twenty".