442352512 has 128 divisors (see below), whose sum is σ = 1080008640. Its totient is φ = 176160768.

The previous prime is 442352483. The next prime is 442352531. The reversal of 442352512 is 215253244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721088 + ... + 1721344.

Almost surely, 2^442352512 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 442352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540004320).

442352512 is an abundant number, since it is smaller than the sum of its proper divisors (637656128).

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

442352512 is a wasteful number, since it uses less digits than its factorization.

442352512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 442352512 is about 21032.1780137008. The cubic root of 442352512 is about 761.9436124554.

The spelling of 442352512 in words is "four hundred forty-two million, three hundred fifty-two thousand, five hundred twelve".