442024032 has 96 divisors (see below), whose sum is σ = 1208390400. Its totient is φ = 141306368.

The previous prime is 442024027. The next prime is 442024073. The reversal of 442024032 is 230420244.

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

It is a congruent number.

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, 497893 + ... + 498779.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400).

Almost surely, 2^442024032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604195200).

442024032 is an abundant number, since it is smaller than the sum of its proper divisors (766366368).

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

442024032 is a wasteful number, since it uses less digits than its factorization.

442024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 442024032 is about 21024.3675766954. The cubic root of 442024032 is about 761.7549656123.

Adding to 442024032 its reverse (230420244), we get a palindrome (672444276).

The spelling of 442024032 in words is "four hundred forty-two million, twenty-four thousand, thirty-two".