442626408 has 96 divisors (see below), whose sum is σ = 1398072000. Its totient is φ = 126457632.

The previous prime is 442626407. The next prime is 442626427. The reversal of 442626408 is 804626244.

It is a happy number.

442626408 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 2 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442626407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15735 + ... + 33657.

It is an arithmetic number, because the mean of its divisors is an integer number (14563250).

Almost surely, 2^442626408 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 442626408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699036000).

442626408 is an abundant number, since it is smaller than the sum of its proper divisors (955445592).

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

442626408 is a wasteful number, since it uses less digits than its factorization.

442626408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17956 (or 17935 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 442626408 is about 21038.6883621579. The cubic root of 442626408 is about 762.1008401896.

The spelling of 442626408 in words is "four hundred forty-two million, six hundred twenty-six thousand, four hundred eight".