401408009 has 2 divisors, whose sum is σ = 401408010. Its totient is φ = 401408008.

The previous prime is 401407957. The next prime is 401408027. The reversal of 401408009 is 900804104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363855625 + 37552384 = 19075^2 + 6128^2 .

It is a cyclic number.

It is not a de Polignac number, because 401408009 - 2²⁴ = 384630793 is a prime.

It is a super-2 number, since 2×401408009² = 322256779378688162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401408069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200704004 + 200704005.

It is an arithmetic number, because the mean of its divisors is an integer number (200704005).

Almost surely, 2^401408009 is an apocalyptic number.

It is an amenable number.

401408009 is a deficient number, since it is larger than the sum of its proper divisors (1).

401408009 is an equidigital number, since it uses as much as digits as its factorization.

401408009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 401408009 is about 20035.1693030032. The cubic root of 401408009 is about 737.6698122425.

The spelling of 401408009 in words is "four hundred one million, four hundred eight thousand, nine".