409742091 has 16 divisors (see below), whose sum is σ = 662209920. Its totient is φ = 248328360.

The previous prime is 409742071. The next prime is 409742101. The reversal of 409742091 is 190247904.

It is not a de Polignac number, because 409742091 - 2⁵ = 409742059 is a prime.

It is a super-2 number, since 2×409742091² = 335777162274104562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409742071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689505 + ... + 690098.

It is an arithmetic number, because the mean of its divisors is an integer number (41388120).

Almost surely, 2^409742091 is an apocalyptic number.

409742091 is a deficient number, since it is larger than the sum of its proper divisors (252467829).

409742091 is a wasteful number, since it uses less digits than its factorization.

409742091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379623 (or 1379617 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 409742091 is about 20242.0871206504. The cubic root of 409742091 is about 742.7400794913.

Adding to 409742091 its reverse (190247904), we get a palindrome (599989995).

The spelling of 409742091 in words is "four hundred nine million, seven hundred forty-two thousand, ninety-one".