442846821493476 has 135 divisors (see below), whose sum is σ = 1229812151437177. Its totient is φ = 138930315937920.

The previous prime is 442846821493441. The next prime is 442846821493477. The reversal of 442846821493476 is 674394128648244.

The square root of 442846821493476 is 21043926.

It is a perfect power (a square), and thus also a powerful number.

442846821493476 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 4 + 6 + 8 + 2 + 149 + 3 + 476 = 666.

It can be written as a sum of positive squares in only one way, i.e., 344776937148900 + 98069884344576 = 18568170^2 + 9903024^2 .

It is a super-2 number, since 2×442846821493476² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442846821493477) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6439406971 + ... + 6439475741.

Almost surely, 2^{442846821493476} is an apocalyptic number.

442846821493476 is the 21043926-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442846821493476

442846821493476 is an abundant number, since it is smaller than the sum of its proper divisors (786965329943701).

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

442846821493476 is an frugal number, since it uses more digits than its factorization.

442846821493476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137592 (or 68793 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 442846821493476 in words is "four hundred forty-two trillion, eight hundred forty-six billion, eight hundred twenty-one million, four hundred ninety-three thousand, four hundred seventy-six".