442034496 has 168 divisors, whose sum is σ = 1346529184. Its totient is φ = 143700480.

The previous prime is 442034429. The next prime is 442034497. The reversal of 442034496 is 694430244.

442034496 is a `hidden beast` number, since 4 + 4 + 203 + 449 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442034496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442034497) 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, 668406 + ... + 669066.

Almost surely, 2^442034496 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 442034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673264592).

442034496 is an abundant number, since it is smaller than the sum of its proper divisors (904494688).

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

442034496 is an equidigital number, since it uses as much as digits as its factorization.

442034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 442034496 is about 21024.6164293192. The cubic root of 442034496 is about 761.7609765533.

The spelling of 442034496 in words is "four hundred forty-two million, thirty-four thousand, four hundred ninety-six".