409834801 has 2 divisors, whose sum is σ = 409834802. Its totient is φ = 409834800.

The previous prime is 409834771. The next prime is 409834819. The reversal of 409834801 is 108438904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359140401 + 50694400 = 18951^2 + 7120^2 .

It is a cyclic number.

It is not a de Polignac number, because 409834801 - 2⁷ = 409834673 is a prime.

It is a super-2 number, since 2×409834801² = 335929128221419202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (409834301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204917400 + 204917401.

It is an arithmetic number, because the mean of its divisors is an integer number (204917401).

Almost surely, 2^409834801 is an apocalyptic number.

It is an amenable number.

409834801 is a deficient number, since it is larger than the sum of its proper divisors (1).

409834801 is an equidigital number, since it uses as much as digits as its factorization.

409834801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 409834801 is about 20244.3770217806. The cubic root of 409834801 is about 742.7960937838.

The spelling of 409834801 in words is "four hundred nine million, eight hundred thirty-four thousand, eight hundred one".