442563000 has 128 divisors (see below), whose sum is σ = 1506435840. Its totient is φ = 107280000.

The previous prime is 442562983. The next prime is 442563007. The reversal of 442563000 is 365244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442563007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26295 + ... + 39705.

It is an arithmetic number, because the mean of its divisors is an integer number (11769030).

Almost surely, 2^442563000 is an apocalyptic number.

442563000 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 442563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753217920).

442563000 is an abundant number, since it is smaller than the sum of its proper divisors (1063872840).

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

442563000 is a wasteful number, since it uses less digits than its factorization.

442563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 442563000 is about 21037.1813701361. The cubic root of 442563000 is about 762.0644471225.

The spelling of 442563000 in words is "four hundred forty-two million, five hundred sixty-three thousand".