442707000 has 128 divisors (see below), whose sum is σ = 1390858560. Its totient is φ = 117235200.

The previous prime is 442706987. The next prime is 442707017. The reversal of 442707000 is 707244.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518574 + ... + 519426.

Almost surely, 2^442707000 is an apocalyptic number.

442707000 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 442707000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695429280).

442707000 is an abundant number, since it is smaller than the sum of its proper divisors (948151560).

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

442707000 is a wasteful number, since it uses less digits than its factorization.

442707000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 442707000 is about 21040.6036035091. The cubic root of 442707000 is about 762.1470910101.

The spelling of 442707000 in words is "four hundred forty-two million, seven hundred seven thousand".