442797084900 has 243 divisors, whose sum is σ = 1425234729009. Its totient is φ = 114986304000.

The previous prime is 442797084881. The next prime is 442797084911. The reversal of 442797084900 is 9480797244.

It is a happy number.

The square root of 442797084900 is 665430.

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

442797084900 is a `hidden beast` number, since 44 + 27 + 97 + 0 + 8 + 490 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 442541596644 + 255488256 = 665238^2 + 15984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 818478630 + ... + 818479170.

Almost surely, 2^442797084900 is an apocalyptic number.

442797084900 is the 665430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442797084900

442797084900 is an abundant number, since it is smaller than the sum of its proper divisors (982437644109).

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

442797084900 is a wasteful number, since it uses less digits than its factorization.

442797084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 442797084900 in words is "four hundred forty-two billion, seven hundred ninety-seven million, eighty-four thousand, nine hundred".