400292401 has 2 divisors, whose sum is σ = 400292402. Its totient is φ = 400292400.

The previous prime is 400292383. The next prime is 400292407. The reversal of 400292401 is 104292004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398042401 + 2250000 = 19951^2 + 1500^2 .

It is a cyclic number.

It is not a de Polignac number, because 400292401 - 2⁹ = 400291889 is a prime.

It is not a weakly prime, because it can be changed into another prime (400292407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200146200 + 200146201.

It is an arithmetic number, because the mean of its divisors is an integer number (200146201).

Almost surely, 2^400292401 is an apocalyptic number.

It is an amenable number.

400292401 is a deficient number, since it is larger than the sum of its proper divisors (1).

400292401 is an equidigital number, since it uses as much as digits as its factorization.

400292401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 400292401 is about 20007.3086895764. The cubic root of 400292401 is about 736.9857917478.

The spelling of 400292401 in words is "four hundred million, two hundred ninety-two thousand, four hundred one".