405802349 has 2 divisors, whose sum is σ = 405802350. Its totient is φ = 405802348.

The previous prime is 405802339. The next prime is 405802351. The reversal of 405802349 is 943208504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240808324 + 164994025 = 15518^2 + 12845^2 .

It is a cyclic number.

It is not a de Polignac number, because 405802349 - 2²⁰ = 404753773 is a prime.

Together with 405802351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405802339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202901174 + 202901175.

It is an arithmetic number, because the mean of its divisors is an integer number (202901175).

Almost surely, 2^405802349 is an apocalyptic number.

It is an amenable number.

405802349 is a deficient number, since it is larger than the sum of its proper divisors (1).

405802349 is an equidigital number, since it uses as much as digits as its factorization.

405802349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 405802349 is about 20144.5364553270. The cubic root of 405802349 is about 740.3518834135.

The spelling of 405802349 in words is "four hundred five million, eight hundred two thousand, three hundred forty-nine".