442164000 has 96 divisors (see below), whose sum is σ = 1448568576. Its totient is φ = 117907200.

The previous prime is 442163989. The next prime is 442164031. The reversal of 442164000 is 461244.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 6424 + ... + 30423.

It is an arithmetic number, because the mean of its divisors is an integer number (15089256).

Almost surely, 2^442164000 is an apocalyptic number.

442164000 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 442164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724284288).

442164000 is an abundant number, since it is smaller than the sum of its proper divisors (1006404576).

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

442164000 is a wasteful number, since it uses less digits than its factorization.

442164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36875 (or 36857 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 442164000 is about 21027.6960221514. The cubic root of 442164000 is about 761.8353609901.

The spelling of 442164000 in words is "four hundred forty-two million, one hundred sixty-four thousand".