442271616 has 64 divisors (see below), whose sum is σ = 1188075600. Its totient is φ = 145756160.

The previous prime is 442271603. The next prime is 442271617. The reversal of 442271616 is 616172244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442271617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27706 + ... + 40646.

Almost surely, 2^442271616 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 442271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594037800).

442271616 is an abundant number, since it is smaller than the sum of its proper divisors (745803984).

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

442271616 is a wasteful number, since it uses less digits than its factorization.

442271616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13047 (or 13035 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 442271616 is about 21030.2547773440. The cubic root of 442271616 is about 761.8971623607.

The spelling of 442271616 in words is "four hundred forty-two million, two hundred seventy-one thousand, six hundred sixteen".