442964016 has 60 divisors (see below), whose sum is σ = 1352387400. Its totient is φ = 134231040.

The previous prime is 442963987. The next prime is 442964017. The reversal of 442964016 is 610469244.

442964016 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 640 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (442964017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138241 + ... + 141408.

It is an arithmetic number, because the mean of its divisors is an integer number (22539790).

Almost surely, 2^442964016 is an apocalyptic number.

It is an amenable number.

442964016 is an abundant number, since it is smaller than the sum of its proper divisors (909423384).

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

442964016 is a wasteful number, since it uses less digits than its factorization.

442964016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279674 (or 279665 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 442964016 is about 21046.7103367723. The cubic root of 442964016 is about 762.2945520485.

The spelling of 442964016 in words is "four hundred forty-two million, nine hundred sixty-four thousand, sixteen".