442664464 has 60 divisors (see below), whose sum is σ = 946789228. Its totient is φ = 200344320.

The previous prime is 442664461. The next prime is 442664473. The reversal of 442664464 is 464466244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81360400 + 361304064 = 9020^2 + 19008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442664461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 721822 + ... + 722434.

Almost surely, 2^442664464 is an apocalyptic number.

442664464 is a gapful number since it is divisible by the number (44) 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 442664464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473394614).

442664464 is an abundant number, since it is smaller than the sum of its proper divisors (504124764).

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

442664464 is a wasteful number, since it uses less digits than its factorization.

442664464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 999 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

The square root of 442664464 is about 21039.5927717245. The cubic root of 442664464 is about 762.1226807892.

The spelling of 442664464 in words is "four hundred forty-two million, six hundred sixty-four thousand, four hundred sixty-four".