408038261 has 2 divisors, whose sum is σ = 408038262. Its totient is φ = 408038260.

The previous prime is 408038249. The next prime is 408038263. The reversal of 408038261 is 162830804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 370755025 + 37283236 = 19255^2 + 6106^2 .

It is a cyclic number.

It is not a de Polignac number, because 408038261 - 2²⁶ = 340929397 is a prime.

It is a Sophie Germain prime.

Together with 408038263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408038263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204019130 + 204019131.

It is an arithmetic number, because the mean of its divisors is an integer number (204019131).

Almost surely, 2^408038261 is an apocalyptic number.

It is an amenable number.

408038261 is a deficient number, since it is larger than the sum of its proper divisors (1).

408038261 is an equidigital number, since it uses as much as digits as its factorization.

408038261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 408038261 is about 20199.9569553997. The cubic root of 408038261 is about 741.7091374801.

The spelling of 408038261 in words is "four hundred eight million, thirty-eight thousand, two hundred sixty-one".