409417008 has 160 divisors (see below), whose sum is σ = 1420242432. Its totient is φ = 98150400.

The previous prime is 409417003. The next prime is 409417039. The reversal of 409417008 is 800714904.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 409417008.

It is not an unprimeable number, because it can be changed into a prime (409417003) 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 31 ways as a sum of consecutive naturals, for example, 43788 + ... + 52308.

Almost surely, 2^409417008 is an apocalyptic number.

409417008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409417008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710121216).

409417008 is an abundant number, since it is smaller than the sum of its proper divisors (1010825424).

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

409417008 is a wasteful number, since it uses less digits than its factorization.

409417008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 409417008 is about 20234.0556488313. The cubic root of 409417008 is about 742.5436013802.

The spelling of 409417008 in words is "four hundred nine million, four hundred seventeen thousand, eight".