444286500 has 384 divisors, whose sum is σ = 1660538880. Its totient is φ = 89856000.

The previous prime is 444286499. The next prime is 444286529. The reversal of 444286500 is 5682444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3391435 + ... + 3391565.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^444286500 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 444286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830269440).

444286500 is an abundant number, since it is smaller than the sum of its proper divisors (1216252380).

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

444286500 is a wasteful number, since it uses less digits than its factorization.

444286500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 444286500 is about 21078.1047535114. The cubic root of 444286500 is about 763.0524170305.

The spelling of 444286500 in words is "four hundred forty-four million, two hundred eighty-six thousand, five hundred".