442000407 has 24 divisors (see below), whose sum is σ = 624710016. Its totient is φ = 277453968.

The previous prime is 442000399. The next prime is 442000423. The reversal of 442000407 is 704000244.

It is not a de Polignac number, because 442000407 - 2³ = 442000399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442000607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 309028 + ... + 310454.

It is an arithmetic number, because the mean of its divisors is an integer number (26029584).

Almost surely, 2^442000407 is an apocalyptic number.

442000407 is a deficient number, since it is larger than the sum of its proper divisors (182709609).

442000407 is a wasteful number, since it uses less digits than its factorization.

442000407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 442000407 is about 21023.8057211343. The cubic root of 442000407 is about 761.7413941167.

The spelling of 442000407 in words is "four hundred forty-two million, four hundred seven", and thus it is an aban number.