442538460 has 144 divisors (see below), whose sum is σ = 1652204736. Its totient is φ = 93367296.

The previous prime is 442538431. The next prime is 442538471. The reversal of 442538460 is 64835244.

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 47 ways as a sum of consecutive naturals, for example, 2872 + ... + 29888.

It is an arithmetic number, because the mean of its divisors is an integer number (11473644).

Almost surely, 2^442538460 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 442538460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826102368).

442538460 is an abundant number, since it is smaller than the sum of its proper divisors (1209666276).

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

442538460 is a wasteful number, since it uses less digits than its factorization.

442538460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27052 (or 27047 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 442538460 is about 21036.5981090099. The cubic root of 442538460 is about 762.0503614389.

The spelling of 442538460 in words is "four hundred forty-two million, five hundred thirty-eight thousand, four hundred sixty".