442124256 has 192 divisors, whose sum is σ = 1403136000. Its totient is φ = 121701888.

The previous prime is 442124233. The next prime is 442124261. The reversal of 442124256 is 652421244.

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, 954681 + ... + 955143.

It is an arithmetic number, because the mean of its divisors is an integer number (7308000).

Almost surely, 2^442124256 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 442124256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568000).

442124256 is an abundant number, since it is smaller than the sum of its proper divisors (961011744).

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

442124256 is a wasteful number, since it uses less digits than its factorization.

442124256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 504 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 442124256 is about 21026.7509615727. The cubic root of 442124256 is about 761.8125343979.

The spelling of 442124256 in words is "four hundred forty-two million, one hundred twenty-four thousand, two hundred fifty-six".