407807 has 2 divisors, whose sum is σ = 407808. Its totient is φ = 407806.

The previous prime is 407801. The next prime is 407821. The reversal of 407807 is 708704.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 407807 - 2⁴ = 407791 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407801) 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, 203903 + 203904.

It is an arithmetic number, because the mean of its divisors is an integer number (203904).

2⁴⁰⁷⁸⁰⁷ is an apocalyptic number.

407807 is a deficient number, since it is larger than the sum of its proper divisors (1).

407807 is an equidigital number, since it uses as much as digits as its factorization.

407807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 407807 is about 638.5976824261. The cubic root of 407807 is about 74.1568986561.

The spelling of 407807 in words is "four hundred seven thousand, eight hundred seven".