442465440 has 96 divisors (see below), whose sum is σ = 1427823936. Its totient is φ = 115107840.

The previous prime is 442465427. The next prime is 442465451. The reversal of 442465440 is 44564244.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8439 + ... + 30921.

It is an arithmetic number, because the mean of its divisors is an integer number (14873166).

Almost surely, 2^442465440 is an apocalyptic number.

442465440 is a gapful number since it is divisible by the number (40) 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 442465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713911968).

442465440 is an abundant number, since it is smaller than the sum of its proper divisors (985358496).

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

442465440 is a wasteful number, since it uses less digits than its factorization.

442465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22542 (or 22534 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 442465440 is about 21034.8624906368. The cubic root of 442465440 is about 762.0084457011.

The spelling of 442465440 in words is "four hundred forty-two million, four hundred sixty-five thousand, four hundred forty".