444794285070 has 320 divisors, whose sum is σ = 1349131956480. Its totient is φ = 104479828992.

The previous prime is 444794285069. The next prime is 444794285077. The reversal of 444794285070 is 70582497444.

444794285070 is a `hidden beast` number, since 4 + 4 + 47 + 94 + 2 + 8 + 507 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444794284998 and 444794285016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444794285077) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21705049 + ... + 21725531.

It is an arithmetic number, because the mean of its divisors is an integer number (4216037364).

Almost surely, 2^444794285070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444794285070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674565978240).

444794285070 is an abundant number, since it is smaller than the sum of its proper divisors (904337671410).

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

444794285070 is a wasteful number, since it uses less digits than its factorization.

444794285070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20621 (or 20612 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 444794285070 in words is "four hundred forty-four billion, seven hundred ninety-four million, two hundred eighty-five thousand, seventy".