442667456 has 112 divisors (see below), whose sum is σ = 1121176320. Its totient is φ = 168376320.

The previous prime is 442667441. The next prime is 442667473. The reversal of 442667456 is 654766244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 210860 + ... + 212948.

Almost surely, 2^442667456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560588160).

442667456 is an abundant number, since it is smaller than the sum of its proper divisors (678508864).

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

442667456 is a wasteful number, since it uses less digits than its factorization.

442667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The square root of 442667456 is about 21039.6638756421. The cubic root of 442667456 is about 762.1243978655.

The spelling of 442667456 in words is "four hundred forty-two million, six hundred sixty-seven thousand, four hundred fifty-six".