446434641 has 9 divisors (see below), whose sum is σ = 644941609. Its totient is φ = 297580836.

The previous prime is 446434633. The next prime is 446434657. The reversal of 446434641 is 146434644.

The square root of 446434641 is 21129.

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

446434641 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 3 + 4 + 641 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 446434641 - 2³ = 446434633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 446434596 and 446434605.

It is not an unprimeable number, because it can be changed into a prime (446434141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59866 + ... + 66908.

Almost surely, 2^446434641 is an apocalyptic number.

446434641 is the 21129-th square number.

446434641 is the 10565-th centered octagonal number.

It is an amenable number.

446434641 is a deficient number, since it is larger than the sum of its proper divisors (198506968).

446434641 is an frugal number, since it uses more digits than its factorization.

446434641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 7046 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The cubic root of 446434641 is about 764.2802354781.

Multiplying 446434641 by its sum of digits (36), we get a square (16071647076 = 126774²).

It can be divided in two parts, 44643 and 4641, that added together give a square (49284 = 222²).

The spelling of 446434641 in words is "four hundred forty-six million, four hundred thirty-four thousand, six hundred forty-one".