180405409 has 2 divisors, whose sum is σ = 180405410. Its totient is φ = 180405408.

The previous prime is 180405367. The next prime is 180405413. The reversal of 180405409 is 904504081.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168350625 + 12054784 = 12975^2 + 3472^2 .

It is a cyclic number.

It is not a de Polignac number, because 180405409 - 2¹⁵ = 180372641 is a prime.

It is a super-2 number, since 2×180405409² = 65092223192914562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (180405469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90202704 + 90202705.

It is an arithmetic number, because the mean of its divisors is an integer number (90202705).

Almost surely, 2^180405409 is an apocalyptic number.

It is an amenable number.

180405409 is a deficient number, since it is larger than the sum of its proper divisors (1).

180405409 is an equidigital number, since it uses as much as digits as its factorization.

180405409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 180405409 is about 13431.5080687166. The cubic root of 180405409 is about 565.0451933464.

The spelling of 180405409 in words is "one hundred eighty million, four hundred five thousand, four hundred nine".