407801 has 2 divisors, whose sum is σ = 407802. Its totient is φ = 407800.

The previous prime is 407791. The next prime is 407807. The reversal of 407801 is 108704.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 133225 = 524^2 + 365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407801 is a prime.

It is equal to p₃₄₄₃₆ and since 407801 and 34436 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (407807) 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, 203900 + 203901.

It is an arithmetic number, because the mean of its divisors is an integer number (203901).

2⁴⁰⁷⁸⁰¹ is an apocalyptic number.

It is an amenable number.

407801 is a deficient number, since it is larger than the sum of its proper divisors (1).

407801 is an equidigital number, since it uses as much as digits as its factorization.

407801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 407801 is about 638.5929846154. The cubic root of 407801 is about 74.1565349680.

The spelling of 407801 in words is "four hundred seven thousand, eight hundred one".