442347904 has 64 divisors (see below), whose sum is σ = 917082000. Its totient is φ = 212273152.

The previous prime is 442347883. The next prime is 442347907. The reversal of 442347904 is 409743244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442347907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998307 + ... + 998749.

Almost surely, 2^442347904 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 442347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458541000).

442347904 is an abundant number, since it is smaller than the sum of its proper divisors (474734096).

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

442347904 is a wasteful number, since it uses less digits than its factorization.

442347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 442347904 is about 21032.0684669863. The cubic root of 442347904 is about 761.9409667161.

The spelling of 442347904 in words is "four hundred forty-two million, three hundred forty-seven thousand, nine hundred four".