442773000 has 384 divisors, whose sum is σ = 1656345600. Its totient is φ = 109296000.

The previous prime is 442772999. The next prime is 442773011. The reversal of 442773000 is 377244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14282985 + ... + 14283015.

It is an arithmetic number, because the mean of its divisors is an integer number (4313400).

Almost surely, 2^442773000 is an apocalyptic number.

442773000 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 442773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828172800).

442773000 is an abundant number, since it is smaller than the sum of its proper divisors (1213572600).

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

442773000 is a wasteful number, since it uses less digits than its factorization.

442773000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 442773000 is about 21042.1719411281. The cubic root of 442773000 is about 762.1849634694.

The spelling of 442773000 in words is "four hundred forty-two million, seven hundred seventy-three thousand".