444060500 has 96 divisors (see below), whose sum is σ = 1064962080. Its totient is φ = 160742400.

The previous prime is 444060497. The next prime is 444060503. The reversal of 444060500 is 5060444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444060497) and next prime (444060503).

It can be written as a sum of positive squares in 16 ways, for example, as 277289104 + 166771396 = 16652^2 + 12914^2 .

It is a super-3 number, since 3×444060500³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444060503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343856 + ... + 345144.

It is an arithmetic number, because the mean of its divisors is an integer number (11093355).

Almost surely, 2^444060500 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 444060500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532481040).

444060500 is an abundant number, since it is smaller than the sum of its proper divisors (620901580).

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

444060500 is a wasteful number, since it uses less digits than its factorization.

444060500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 444060500 is about 21072.7430582732. The cubic root of 444060500 is about 762.9230117217.

The spelling of 444060500 in words is "four hundred forty-four million, sixty thousand, five hundred".