442007712 has 48 divisors (see below), whose sum is σ = 1289191680. Its totient is φ = 147335616.

The previous prime is 442007677. The next prime is 442007759. The reversal of 442007712 is 217700244.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254928 + ... + 256655.

It is an arithmetic number, because the mean of its divisors is an integer number (26858160).

Almost surely, 2^442007712 is an apocalyptic number.

It is an amenable number.

442007712 is an abundant number, since it is smaller than the sum of its proper divisors (847183968).

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

442007712 is a wasteful number, since it uses less digits than its factorization.

442007712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511602 (or 511588 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 442007712 is about 21023.9794520448. The cubic root of 442007712 is about 761.7455905610.

Adding to 442007712 its reverse (217700244), we get a palindrome (659707956).

The spelling of 442007712 in words is "four hundred forty-two million, seven thousand, seven hundred twelve".