442472448 has 96 divisors (see below), whose sum is σ = 1287074880. Its totient is φ = 134062080.

The previous prime is 442472423. The next prime is 442472453. The reversal of 442472448 is 844274244.

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

It is a super-2 number, since 2×442472448² = 391563734478225408, which contains 22 as substring.

It is a congruent number.

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, 64311 + ... + 70857.

It is an arithmetic number, because the mean of its divisors is an integer number (13407030).

Almost surely, 2^442472448 is an apocalyptic number.

442472448 is a gapful number since it is divisible by the number (48) 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 442472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643537440).

442472448 is an abundant number, since it is smaller than the sum of its proper divisors (844602432).

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

442472448 is a wasteful number, since it uses less digits than its factorization.

442472448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583 (or 6563 counting only the distinct ones).

The product of its digits is 229376, while the sum is 39.

The square root of 442472448 is about 21035.0290705765. The cubic root of 442472448 is about 762.0124687098.

The spelling of 442472448 in words is "four hundred forty-two million, four hundred seventy-two thousand, four hundred forty-eight".