442498032 has 160 divisors (see below), whose sum is σ = 1361966400. Its totient is φ = 137060352.

The previous prime is 442498027. The next prime is 442498093. The reversal of 442498032 is 230894244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653278 + ... + 653954.

It is an arithmetic number, because the mean of its divisors is an integer number (8512290).

Almost surely, 2^442498032 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 442498032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680983200).

442498032 is an abundant number, since it is smaller than the sum of its proper divisors (919468368).

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

442498032 is a wasteful number, since it uses less digits than its factorization.

442498032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 442498032 is about 21035.6371902541. The cubic root of 442498032 is about 762.0271550866.

The spelling of 442498032 in words is "four hundred forty-two million, four hundred ninety-eight thousand, thirty-two".