442384704 has 42 divisors (see below), whose sum is σ = 1268017530. Its totient is φ = 147461376.

The previous prime is 442384669. The next prime is 442384729. The reversal of 442384704 is 407483244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 393943104 + 48441600 = 19848^2 + 6960^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 383439 + ... + 384590.

Almost surely, 2^442384704 is an apocalyptic number.

It is an amenable number.

442384704 is an abundant number, since it is smaller than the sum of its proper divisors (825632826).

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

442384704 is a wasteful number, since it uses less digits than its factorization.

442384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768047 (or 768034 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 442384704 is about 21032.9433033040. The cubic root of 442384704 is about 761.9620953720.

The spelling of 442384704 in words is "four hundred forty-two million, three hundred eighty-four thousand, seven hundred four".