409481357 has 2 divisors, whose sum is σ = 409481358. Its totient is φ = 409481356.

The previous prime is 409481333. The next prime is 409481453. The reversal of 409481357 is 753184904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328733161 + 80748196 = 18131^2 + 8986^2 .

It is a cyclic number.

It is not a de Polignac number, because 409481357 - 2⁸ = 409481101 is a prime.

It is a super-2 number, since 2×409481357² = 335349963461122898, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409481327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204740678 + 204740679.

It is an arithmetic number, because the mean of its divisors is an integer number (204740679).

Almost surely, 2^409481357 is an apocalyptic number.

It is an amenable number.

409481357 is a deficient number, since it is larger than the sum of its proper divisors (1).

409481357 is an equidigital number, since it uses as much as digits as its factorization.

409481357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 409481357 is about 20235.6457025715. The cubic root of 409481357 is about 742.5825017631.

The spelling of 409481357 in words is "four hundred nine million, four hundred eighty-one thousand, three hundred fifty-seven".