442346688 has 168 divisors, whose sum is σ = 1496202240. Its totient is φ = 122273280.

The previous prime is 442346669. The next prime is 442346689. The reversal of 442346688 is 886643244.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442346689) 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, 123223 + ... + 126761.

Almost surely, 2^442346688 is an apocalyptic number.

442346688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442346688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748101120).

442346688 is an abundant number, since it is smaller than the sum of its proper divisors (1053855552).

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

442346688 is a wasteful number, since it uses less digits than its factorization.

442346688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3582 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 442346688 is about 21032.0395587304. The cubic root of 442346688 is about 761.9402685318.

The spelling of 442346688 in words is "four hundred forty-two million, three hundred forty-six thousand, six hundred eighty-eight".