444495600 has 360 divisors, whose sum is σ = 1700047440. Its totient is φ = 111144960.

The previous prime is 444495599. The next prime is 444495607. The reversal of 444495600 is 6594444.

444495600 is a `hidden beast` number, since 4 + 4 + 4 + 49 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (444495607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1652266 + ... + 1652534.

It is an arithmetic number, because the mean of its divisors is an integer number (4722354).

Almost surely, 2^444495600 is an apocalyptic number.

444495600 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 444495600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850023720).

444495600 is an abundant number, since it is smaller than the sum of its proper divisors (1255551840).

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

444495600 is a wasteful number, since it uses less digits than its factorization.

444495600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 444495600 is about 21083.0642934086. The cubic root of 444495600 is about 763.1721064921.

The spelling of 444495600 in words is "four hundred forty-four million, four hundred ninety-five thousand, six hundred".