442671264 has 192 divisors, whose sum is σ = 1504500480. Its totient is φ = 124001280.

The previous prime is 442671263. The next prime is 442671319. The reversal of 442671264 is 462176244.

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.

It is not an unprimeable number, because it can be changed into a prime (442671263) 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, 319854 + ... + 321234.

It is an arithmetic number, because the mean of its divisors is an integer number (7835940).

Almost surely, 2^442671264 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 442671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752250240).

442671264 is an abundant number, since it is smaller than the sum of its proper divisors (1061829216).

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

442671264 is a wasteful number, since it uses less digits than its factorization.

442671264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1446 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 442671264 is about 21039.7543711898. The cubic root of 442671264 is about 762.1265832241.

The spelling of 442671264 in words is "four hundred forty-two million, six hundred seventy-one thousand, two hundred sixty-four".