444250500 has 96 divisors (see below), whose sum is σ = 1298868480. Its totient is φ = 117990400.

The previous prime is 444250481. The next prime is 444250517. The reversal of 444250500 is 5052444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529081 + ... + 529919.

It is an arithmetic number, because the mean of its divisors is an integer number (13529880).

Almost surely, 2^444250500 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 444250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649434240).

444250500 is an abundant number, since it is smaller than the sum of its proper divisors (854617980).

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

444250500 is a wasteful number, since it uses less digits than its factorization.

444250500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 444250500 is about 21077.2507694908. The cubic root of 444250500 is about 763.0318067344.

The spelling of 444250500 in words is "four hundred forty-four million, two hundred fifty thousand, five hundred".