409455981 has 24 divisors (see below), whose sum is σ = 652466880. Its totient is φ = 245361600.

The previous prime is 409455941. The next prime is 409455997. The reversal of 409455981 is 189554904.

409455981 is a `hidden beast` number, since 4 + 0 + 94 + 559 + 8 + 1 = 666.

It is not a de Polignac number, because 409455981 - 2⁷ = 409455853 is a prime.

It is a super-2 number, since 2×409455981² = 335308400753344722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409455911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14425 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (27186120).

Almost surely, 2^409455981 is an apocalyptic number.

It is an amenable number.

409455981 is a deficient number, since it is larger than the sum of its proper divisors (243010899).

409455981 is a wasteful number, since it uses less digits than its factorization.

409455981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46577 (or 46574 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 409455981 is about 20235.0186804955. The cubic root of 409455981 is about 742.5671619008.

The spelling of 409455981 in words is "four hundred nine million, four hundred fifty-five thousand, nine hundred eighty-one".