8400461 has 2 divisors, whose sum is σ = 8400462. Its totient is φ = 8400460.

The previous prime is 8400439. The next prime is 8400481. The reversal of 8400461 is 1640048.

It is a happy number.

8400461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7123561 + 1276900 = 2669^2 + 1130^2 .

It is a cyclic number.

It is not a de Polignac number, because 8400461 - 2¹⁰ = 8399437 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8400481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200230 + 4200231.

It is an arithmetic number, because the mean of its divisors is an integer number (4200231).

Almost surely, 2^8400461 is an apocalyptic number.

It is an amenable number.

8400461 is a deficient number, since it is larger than the sum of its proper divisors (1).

8400461 is an equidigital number, since it uses as much as digits as its factorization.

8400461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8400461 is about 2898.3548782025. The cubic root of 8400461 is about 203.2829900149.

The spelling of 8400461 in words is "eight million, four hundred thousand, four hundred sixty-one".