442802464 has 48 divisors (see below), whose sum is σ = 952898688. Its totient is φ = 201307392.

The previous prime is 442802461. The next prime is 442802471. The reversal of 442802464 is 464208244.

It is not an unprimeable number, because it can be changed into a prime (442802461) 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, 19929 + ... + 35815.

It is an arithmetic number, because the mean of its divisors is an integer number (19852056).

Almost surely, 2^442802464 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 442802464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476449344).

442802464 is an abundant number, since it is smaller than the sum of its proper divisors (510096224).

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

442802464 is a wasteful number, since it uses less digits than its factorization.

442802464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15977 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 442802464 is about 21042.8720473228. The cubic root of 442802464 is about 762.2018694383.

The spelling of 442802464 in words is "four hundred forty-two million, eight hundred two thousand, four hundred sixty-four".