442374912 has 288 divisors, whose sum is σ = 1538396160. Its totient is φ = 122757120.

The previous prime is 442374869. The next prime is 442374913. The reversal of 442374912 is 219473244.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (442374913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983633 + ... + 1983855.

Almost surely, 2^442374912 is an apocalyptic number.

442374912 is a gapful number since it is divisible by the number (42) 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 442374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769198080).

442374912 is an abundant number, since it is smaller than the sum of its proper divisors (1096021248).

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

442374912 is a wasteful number, since it uses less digits than its factorization.

442374912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 442374912 is about 21032.7105243238. The cubic root of 442374912 is about 761.9564734267.

The spelling of 442374912 in words is "four hundred forty-two million, three hundred seventy-four thousand, nine hundred twelve".