416444481 has 6 divisors (see below), whose sum is σ = 601530930. Its totient is φ = 277629648.

The previous prime is 416444477. The next prime is 416444491. The reversal of 416444481 is 184444614.

416444481 is a `hidden beast` number, since 4 + 1 + 644 + 4 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289544256 + 126900225 = 17016^2 + 11265^2 .

It is not a de Polignac number, because 416444481 - 2² = 416444477 is a prime.

It is a super-2 number, since 2×416444481² = 346852011510718722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23135796 + ... + 23135813.

It is an arithmetic number, because the mean of its divisors is an integer number (100255155).

Almost surely, 2^416444481 is an apocalyptic number.

It is an amenable number.

416444481 is a deficient number, since it is larger than the sum of its proper divisors (185086449).

416444481 is a wasteful number, since it uses less digits than its factorization.

416444481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46271615 (or 46271612 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 416444481 is about 20406.9713823487. The cubic root of 416444481 is about 746.7680069677.

The spelling of 416444481 in words is "four hundred sixteen million, four hundred forty-four thousand, four hundred eighty-one".