442138176 has 280 divisors, whose sum is σ = 1443883320. Its totient is φ = 133152768.

The previous prime is 442138163. The next prime is 442138199. The reversal of 442138176 is 671831244.

It can be written as a sum of positive squares in 4 ways, for example, as 224280576 + 217857600 = 14976^2 + 14760^2 .

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 442138176.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2555626 + ... + 2555798.

Almost surely, 2^442138176 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 442138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721941660).

442138176 is an abundant number, since it is smaller than the sum of its proper divisors (1001745144).

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

442138176 is a wasteful number, since it uses less digits than its factorization.

442138176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 442138176 is about 21027.0819658839. The cubic root of 442138176 is about 761.8205293745.

The spelling of 442138176 in words is "four hundred forty-two million, one hundred thirty-eight thousand, one hundred seventy-six".