442334304 has 48 divisors (see below), whose sum is σ = 1290144240. Its totient is φ = 147444480.

The previous prime is 442334287. The next prime is 442334329. The reversal of 442334304 is 403433244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255117 + ... + 256844.

It is an arithmetic number, because the mean of its divisors is an integer number (26878005).

Almost surely, 2^442334304 is an apocalyptic number.

It is an amenable number.

442334304 is an abundant number, since it is smaller than the sum of its proper divisors (847809936).

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

442334304 is a wasteful number, since it uses less digits than its factorization.

442334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511980 (or 511966 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 442334304 is about 21031.7451487032. The cubic root of 442334304 is about 761.9331580032.

Adding to 442334304 its reverse (403433244), we get a palindrome (845767548).

The spelling of 442334304 in words is "four hundred forty-two million, three hundred thirty-four thousand, three hundred four".