442211616 has 576 divisors, whose sum is σ = 1782466560. Its totient is φ = 103403520.

The previous prime is 442211611. The next prime is 442211617. The reversal of 442211616 is 616112244.

442211616 is a `hidden beast` number, since 4 + 42 + 2 + 1 + 1 + 616 = 666.

It is a super-2 number, since 2×442211616² = 391102226650662912, which contains 22 as substring.

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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442211616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442211611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19226581 + ... + 19226603.

It is an arithmetic number, because the mean of its divisors is an integer number (3094560).

Almost surely, 2^442211616 is an apocalyptic number.

442211616 is a gapful number since it is divisible by the number (46) 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 442211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891233280).

442211616 is an abundant number, since it is smaller than the sum of its proper divisors (1340254944).

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

442211616 is a wasteful number, since it uses less digits than its factorization.

442211616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 442211616 is about 21028.8282127179. The cubic root of 442211616 is about 761.8627069902.

The spelling of 442211616 in words is "four hundred forty-two million, two hundred eleven thousand, six hundred sixteen".