442001406 has 32 divisors (see below), whose sum is σ = 1102134528. Its totient is φ = 114805440.

The previous prime is 442001381. The next prime is 442001407. The reversal of 442001406 is 604100244.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442001407) 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, 477895 + ... + 478818.

It is an arithmetic number, because the mean of its divisors is an integer number (34441704).

Almost surely, 2^442001406 is an apocalyptic number.

442001406 is an abundant number, since it is smaller than the sum of its proper divisors (660133122).

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

442001406 is a wasteful number, since it uses less digits than its factorization.

442001406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956736.

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

The square root of 442001406 is about 21023.8294799021. The cubic root of 442001406 is about 761.7419680069.

The spelling of 442001406 in words is "four hundred forty-two million, one thousand, four hundred six".