442725870456 has 96 divisors (see below), whose sum is σ = 1218707577360. Its totient is φ = 145171078656.

The previous prime is 442725870451. The next prime is 442725870463. The reversal of 442725870456 is 654078527244.

442725870456 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 2 + 587 + 0 + 4 + 56 = 666.

It is a super-3 number, since 3×442725870456³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442725870451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233430 + ... + 1551386.

Almost surely, 2^442725870456 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 442725870456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609353788680).

442725870456 is an abundant number, since it is smaller than the sum of its proper divisors (775981706904).

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

442725870456 is a wasteful number, since it uses less digits than its factorization.

442725870456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318285 (or 318278 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 442725870456 in words is "four hundred forty-two billion, seven hundred twenty-five million, eight hundred seventy thousand, four hundred fifty-six".