409981221 has 48 divisors (see below), whose sum is σ = 687086400. Its totient is φ = 233404416.

The previous prime is 409981217. The next prime is 409981223. The reversal of 409981221 is 122189904.

It is not a de Polignac number, because 409981221 - 2² = 409981217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409981223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93445 + ... + 97733.

It is an arithmetic number, because the mean of its divisors is an integer number (14314300).

Almost surely, 2^409981221 is an apocalyptic number.

It is an amenable number.

409981221 is a deficient number, since it is larger than the sum of its proper divisors (277105179).

409981221 is a wasteful number, since it uses less digits than its factorization.

409981221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 409981221 is about 20247.9930116543. The cubic root of 409981221 is about 742.8845418237.

The spelling of 409981221 in words is "four hundred nine million, nine hundred eighty-one thousand, two hundred twenty-one".