407984461 has 2 divisors, whose sum is σ = 407984462. Its totient is φ = 407984460.

The previous prime is 407984449. The next prime is 407984471. The reversal of 407984461 is 164489704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217710025 + 190274436 = 14755^2 + 13794^2 .

It is a cyclic number.

It is not a de Polignac number, because 407984461 - 2⁹ = 407983949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407984471) 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 as a sum of consecutive naturals, namely, 203992230 + 203992231.

It is an arithmetic number, because the mean of its divisors is an integer number (203992231).

Almost surely, 2^407984461 is an apocalyptic number.

It is an amenable number.

407984461 is a deficient number, since it is larger than the sum of its proper divisors (1).

407984461 is an equidigital number, since it uses as much as digits as its factorization.

407984461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 407984461 is about 20198.6252254949. The cubic root of 407984461 is about 741.6765378366.

The spelling of 407984461 in words is "four hundred seven million, nine hundred eighty-four thousand, four hundred sixty-one".