442601712 has 320 divisors, whose sum is σ = 1547520000. Its totient is φ = 120911616.

The previous prime is 442601707. The next prime is 442601723. The reversal of 442601712 is 217106244.

442601712 is a `hidden beast` number, since 4 + 42 + 601 + 7 + 12 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 4297053 + ... + 4297155.

It is an arithmetic number, because the mean of its divisors is an integer number (4836000).

Almost surely, 2^442601712 is an apocalyptic number.

442601712 is a gapful number since it is divisible by the number (42) 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 442601712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760000).

442601712 is an abundant number, since it is smaller than the sum of its proper divisors (1104918288).

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

442601712 is a wasteful number, since it uses less digits than its factorization.

442601712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 442601712 is about 21038.1014352531. The cubic root of 442601712 is about 762.0866663160.

Adding to 442601712 its reverse (217106244), we get a palindrome (659707956).

The spelling of 442601712 in words is "four hundred forty-two million, six hundred one thousand, seven hundred twelve".