444865500 has 192 divisors, whose sum is σ = 1487216640. Its totient is φ = 114696000.

The previous prime is 444865489. The next prime is 444865507. The reversal of 444865500 is 5568444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444865507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417969 + ... + 419031.

It is an arithmetic number, because the mean of its divisors is an integer number (7745920).

Almost surely, 2^444865500 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 444865500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743608320).

444865500 is an abundant number, since it is smaller than the sum of its proper divisors (1042351140).

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

444865500 is a wasteful number, since it uses less digits than its factorization.

444865500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 444865500 is about 21091.8349130653. The cubic root of 444865500 is about 763.3837464507.

The spelling of 444865500 in words is "four hundred forty-four million, eight hundred sixty-five thousand, five hundred".