442114000 has 80 divisors (see below), whose sum is σ = 1073592000. Its totient is φ = 176092800.

The previous prime is 442113979. The next prime is 442114009. The reversal of 442114000 is 411244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442114009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885751 + ... + 886249.

It is an arithmetic number, because the mean of its divisors is an integer number (13419900).

Almost surely, 2^442114000 is an apocalyptic number.

442114000 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 442114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536796000).

442114000 is an abundant number, since it is smaller than the sum of its proper divisors (631478000).

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

442114000 is a wasteful number, since it uses less digits than its factorization.

442114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 442114000 is about 21026.5070803498. The cubic root of 442114000 is about 761.8066437389.

Adding to 442114000 its reverse (411244), we get a palindrome (442525244).

The spelling of 442114000 in words is "four hundred forty-two million, one hundred fourteen thousand".