820467407 has 2 divisors, whose sum is σ = 820467408. Its totient is φ = 820467406.

The previous prime is 820467343. The next prime is 820467451. The reversal of 820467407 is 704764028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820467407 - 2⁶ = 820467343 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820467467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410233703 + 410233704.

It is an arithmetic number, because the mean of its divisors is an integer number (410233704).

Almost surely, 2^820467407 is an apocalyptic number.

820467407 is a deficient number, since it is larger than the sum of its proper divisors (1).

820467407 is an equidigital number, since it uses as much as digits as its factorization.

820467407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 820467407 is about 28643.8022441156. The cubic root of 820467407 is about 936.1679693288.

The spelling of 820467407 in words is "eight hundred twenty million, four hundred sixty-seven thousand, four hundred seven".