442414413 has 32 divisors (see below), whose sum is σ = 750193920. Its totient is φ = 252426240.

The previous prime is 442414369. The next prime is 442414417. The reversal of 442414413 is 314414244.

442414413 is a `hidden beast` number, since 4 + 4 + 241 + 4 + 413 = 666.

It is not a de Polignac number, because 442414413 - 2¹⁷ = 442283341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442414417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 165181 + ... + 167837.

It is an arithmetic number, because the mean of its divisors is an integer number (23443560).

Almost surely, 2^442414413 is an apocalyptic number.

It is an amenable number.

442414413 is a deficient number, since it is larger than the sum of its proper divisors (307779507).

442414413 is a wasteful number, since it uses less digits than its factorization.

442414413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3548 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 442414413 is about 21033.6495406765. The cubic root of 442414413 is about 761.9791518879.

Adding to 442414413 its reverse (314414244), we get a palindrome (756828657).

The spelling of 442414413 in words is "four hundred forty-two million, four hundred fourteen thousand, four hundred thirteen".