442825704 has 144 divisors (see below), whose sum is σ = 1314724320. Its totient is φ = 139618080.

The previous prime is 442825699. The next prime is 442825711. The reversal of 442825704 is 407528244.

442825704 is a `hidden beast` number, since 4 + 4 + 2 + 82 + 570 + 4 = 666.

It is a super-3 number, since 3×442825704³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 701469 + ... + 702099.

It is an arithmetic number, because the mean of its divisors is an integer number (9130030).

Almost surely, 2^442825704 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 442825704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657362160).

442825704 is an abundant number, since it is smaller than the sum of its proper divisors (871898616).

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

442825704 is a wasteful number, since it uses less digits than its factorization.

442825704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 442825704 is about 21043.4242460679. The cubic root of 442825704 is about 762.2152036471.

The spelling of 442825704 in words is "four hundred forty-two million, eight hundred twenty-five thousand, seven hundred four".