409828919 has 2 divisors, whose sum is σ = 409828920. Its totient is φ = 409828918.

The previous prime is 409828831. The next prime is 409828921. The reversal of 409828919 is 919828904.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 409828919 - 2²⁸ = 141393463 is a prime.

It is a super-2 number, since 2×409828919² = 335919485697417122, which contains 22 as substring.

Together with 409828921, 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 (409828019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204914459 + 204914460.

It is an arithmetic number, because the mean of its divisors is an integer number (204914460).

Almost surely, 2^409828919 is an apocalyptic number.

409828919 is a deficient number, since it is larger than the sum of its proper divisors (1).

409828919 is an equidigital number, since it uses as much as digits as its factorization.

409828919 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 50.

The square root of 409828919 is about 20244.2317463518. The cubic root of 409828919 is about 742.7925401995.

The spelling of 409828919 in words is "four hundred nine million, eight hundred twenty-eight thousand, nine hundred nineteen".