442158576 has 160 divisors (see below), whose sum is σ = 1292774400. Its totient is φ = 129752064.

The previous prime is 442158571. The next prime is 442158599. The reversal of 442158576 is 675851244.

It is a happy number.

Its product of digits (268800) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442158571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5596905 + ... + 5596983.

It is an arithmetic number, because the mean of its divisors is an integer number (8079840).

Almost surely, 2^442158576 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 442158576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646387200).

442158576 is an abundant number, since it is smaller than the sum of its proper divisors (850615824).

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

442158576 is a wasteful number, since it uses less digits than its factorization.

442158576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 442158576 is about 21027.5670489955. The cubic root of 442158576 is about 761.8322458473.

The spelling of 442158576 in words is "four hundred forty-two million, one hundred fifty-eight thousand, five hundred seventy-six".