442040406 has 64 divisors (see below), whose sum is σ = 933216768. Its totient is φ = 139442688.

The previous prime is 442040383. The next prime is 442040407. The reversal of 442040406 is 604040244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442040407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680631 + ... + 1680893.

It is an arithmetic number, because the mean of its divisors is an integer number (14581512).

Almost surely, 2^442040406 is an apocalyptic number.

442040406 is an abundant number, since it is smaller than the sum of its proper divisors (491176362).

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

442040406 is a wasteful number, since it uses less digits than its factorization.

442040406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442040406 is about 21024.7569783815. The cubic root of 442040406 is about 761.7643714522.

The spelling of 442040406 in words is "four hundred forty-two million, forty thousand, four hundred six".