442866900 has 216 divisors, whose sum is σ = 1524652416. Its totient is φ = 98918400.

The previous prime is 442866883. The next prime is 442866929. The reversal of 442866900 is 9668244.

It is a super-2 number, since 2×442866900² = 392262182231220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 690580 + ... + 691220.

It is an arithmetic number, because the mean of its divisors is an integer number (7058576).

Almost surely, 2^442866900 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 442866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762326208).

442866900 is an abundant number, since it is smaller than the sum of its proper divisors (1081785516).

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

442866900 is a wasteful number, since it uses less digits than its factorization.

442866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 442866900 is about 21044.4030563948. The cubic root of 442866900 is about 762.2388391645.

The spelling of 442866900 in words is "four hundred forty-two million, eight hundred sixty-six thousand, nine hundred".