408777349 has 2 divisors, whose sum is σ = 408777350. Its totient is φ = 408777348.

The previous prime is 408777337. The next prime is 408777371. The reversal of 408777349 is 943777804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 407757249 + 1020100 = 20193^2 + 1010^2 .

It is a cyclic number.

It is not a de Polignac number, because 408777349 - 2¹³ = 408769157 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408777319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204388674 + 204388675.

It is an arithmetic number, because the mean of its divisors is an integer number (204388675).

Almost surely, 2^408777349 is an apocalyptic number.

It is an amenable number.

408777349 is a deficient number, since it is larger than the sum of its proper divisors (1).

408777349 is an equidigital number, since it uses as much as digits as its factorization.

408777349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1185408, while the sum is 49.

The square root of 408777349 is about 20218.2429750955. The cubic root of 408777349 is about 742.1566916488.

The spelling of 408777349 in words is "four hundred eight million, seven hundred seventy-seven thousand, three hundred forty-nine".