8414461 has 12 divisors (see below), whose sum is σ = 9322236. Its totient is φ = 7589120.

The previous prime is 8414453. The next prime is 8414479. The reversal of 8414461 is 1644148.

It can be written as a sum of positive squares in 2 ways, for example, as 6400900 + 2013561 = 2530^2 + 1419^2 .

It is not a de Polignac number, because 8414461 - 2³ = 8414453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414561) 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 11 ways as a sum of consecutive naturals, for example, 23661 + ... + 24013.

It is an arithmetic number, because the mean of its divisors is an integer number (776853).

Almost surely, 2^8414461 is an apocalyptic number.

It is an amenable number.

8414461 is a deficient number, since it is larger than the sum of its proper divisors (907775).

8414461 is a wasteful number, since it uses less digits than its factorization.

8414461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 8414461 is about 2900.7690359627. The cubic root of 8414461 is about 203.3958561350.

The spelling of 8414461 in words is "eight million, four hundred fourteen thousand, four hundred sixty-one".