409248408 has 32 divisors (see below), whose sum is σ = 1024358400. Its totient is φ = 136251168.

The previous prime is 409248403. The next prime is 409248449. The reversal of 409248408 is 804842904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409248401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10833 + ... + 30591.

It is an arithmetic number, because the mean of its divisors is an integer number (32011200).

Almost surely, 2^409248408 is an apocalyptic number.

It is an amenable number.

409248408 is an abundant number, since it is smaller than the sum of its proper divisors (615109992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409248408 is a wasteful number, since it uses less digits than its factorization.

409248408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20631 (or 20627 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 409248408 is about 20229.8889764625. Note that the first 3 decimals coincide. The cubic root of 409248408 is about 742.4416596454.

The spelling of 409248408 in words is "four hundred nine million, two hundred forty-eight thousand, four hundred eight".