409504457 has 2 divisors, whose sum is σ = 409504458. Its totient is φ = 409504456.

The previous prime is 409504421. The next prime is 409504463. The reversal of 409504457 is 754405904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 396965776 + 12538681 = 19924^2 + 3541^2 .

It is a cyclic number.

It is not a de Polignac number, because 409504457 - 2⁶ = 409504393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409504457.

It is not a weakly prime, because it can be changed into another prime (409504657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204752228 + 204752229.

It is an arithmetic number, because the mean of its divisors is an integer number (204752229).

Almost surely, 2^409504457 is an apocalyptic number.

It is an amenable number.

409504457 is a deficient number, since it is larger than the sum of its proper divisors (1).

409504457 is an equidigital number, since it uses as much as digits as its factorization.

409504457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 409504457 is about 20236.2164694886. The cubic root of 409504457 is about 742.5964652260.

The spelling of 409504457 in words is "four hundred nine million, five hundred four thousand, four hundred fifty-seven".