416146441 has 4 divisors (see below), whose sum is σ = 416212884. Its totient is φ = 416080000.

The previous prime is 416146427. The next prime is 416146463. The reversal of 416146441 is 144641614.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 96452041 + 319694400 = 9821^2 + 17880^2 .

It is a cyclic number.

It is not a de Polignac number, because 416146441 - 2⁹ = 416145929 is a prime.

It is a super-3 number, since 3×416146441³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416126441) 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 3 ways as a sum of consecutive naturals, for example, 22720 + ... + 36721.

It is an arithmetic number, because the mean of its divisors is an integer number (104053221).

Almost surely, 2^416146441 is an apocalyptic number.

It is an amenable number.

416146441 is a deficient number, since it is larger than the sum of its proper divisors (66443).

416146441 is an equidigital number, since it uses as much as digits as its factorization.

416146441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66442.

The product of its digits is 9216, while the sum is 31.

The square root of 416146441 is about 20399.6676688617. The cubic root of 416146441 is about 746.5898160656.

The spelling of 416146441 in words is "four hundred sixteen million, one hundred forty-six thousand, four hundred forty-one".