413468977 has 2 divisors, whose sum is σ = 413468978. Its totient is φ = 413468976.

The previous prime is 413468963. The next prime is 413468987. The reversal of 413468977 is 779864314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235806736 + 177662241 = 15356^2 + 13329^2 .

It is a cyclic number.

It is not a de Polignac number, because 413468977 - 2²⁷ = 279251249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413468977.

It is not a weakly prime, because it can be changed into another prime (413468927) 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 as a sum of consecutive naturals, namely, 206734488 + 206734489.

It is an arithmetic number, because the mean of its divisors is an integer number (206734489).

Almost surely, 2^413468977 is an apocalyptic number.

It is an amenable number.

413468977 is a deficient number, since it is larger than the sum of its proper divisors (1).

413468977 is an equidigital number, since it uses as much as digits as its factorization.

413468977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 49.

The square root of 413468977 is about 20333.9365839475. The cubic root of 413468977 is about 744.9851967691.

The spelling of 413468977 in words is "four hundred thirteen million, four hundred sixty-eight thousand, nine hundred seventy-seven".