442464384 has 64 divisors (see below), whose sum is σ = 1177488000. Its totient is φ = 147213312.

The previous prime is 442464377. The next prime is 442464391. The reversal of 442464384 is 483464244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442464377) and next prime (442464391).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×442464384² = 391549462216998912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398422 + ... + 399530.

It is an arithmetic number, because the mean of its divisors is an integer number (18398250).

Almost surely, 2^442464384 is an apocalyptic number.

It is an amenable number.

442464384 is an abundant number, since it is smaller than the sum of its proper divisors (735023616).

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

442464384 is a wasteful number, since it uses less digits than its factorization.

442464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

The square root of 442464384 is about 21034.8373894357. The cubic root of 442464384 is about 762.0078394906.

The spelling of 442464384 in words is "four hundred forty-two million, four hundred sixty-four thousand, three hundred eighty-four".