442468416 has 112 divisors (see below), whose sum is σ = 1267358400. Its totient is φ = 135432192.

The previous prime is 442468393. The next prime is 442468421. The reversal of 442468416 is 614864244.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671095 + ... + 671753.

It is an arithmetic number, because the mean of its divisors is an integer number (11315700).

Almost surely, 2^442468416 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 442468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633679200).

442468416 is an abundant number, since it is smaller than the sum of its proper divisors (824889984).

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

442468416 is a wasteful number, since it uses less digits than its factorization.

442468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 442468416 is about 21034.9332302244. The cubic root of 442468416 is about 762.0101541072.

The spelling of 442468416 in words is "four hundred forty-two million, four hundred sixty-eight thousand, four hundred sixteen".