442031616 has 240 divisors, whose sum is σ = 1412034624. Its totient is φ = 132268032.

The previous prime is 442031609. The next prime is 442031621. The reversal of 442031616 is 616130244.

442031616 is a `hidden beast` number, since 4 + 42 + 0 + 3 + 1 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 442031616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2815410 + ... + 2815566.

Almost surely, 2^442031616 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 442031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706017312).

442031616 is an abundant number, since it is smaller than the sum of its proper divisors (970003008).

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

442031616 is a wasteful number, since it uses less digits than its factorization.

442031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 442031616 is about 21024.5479380652. The cubic root of 442031616 is about 761.7593221753.

The spelling of 442031616 in words is "four hundred forty-two million, thirty-one thousand, six hundred sixteen".