442422464 has 42 divisors (see below), whose sum is σ = 965016612. Its totient is φ = 201097600.

The previous prime is 442422451. The next prime is 442422469. The reversal of 442422464 is 464224244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 442422464.

It is not an unprimeable number, because it can be changed into a prime (442422469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20822 + ... + 36309.

It is an arithmetic number, because the mean of its divisors is an integer number (22976586).

Almost surely, 2^442422464 is an apocalyptic number.

442422464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442422464 is an abundant number, since it is smaller than the sum of its proper divisors (522594148).

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

442422464 is a wasteful number, since it uses less digits than its factorization.

442422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57165 (or 57144 counting only the distinct ones).

The product of its digits is 49152, while the sum is 32.

The square root of 442422464 is about 21033.8409236164. The cubic root of 442422464 is about 761.9837739924.

The spelling of 442422464 in words is "four hundred forty-two million, four hundred twenty-two thousand, four hundred sixty-four".