409415418 has 64 divisors (see below), whose sum is σ = 925539840. Its totient is φ = 134136000.

The previous prime is 409415411. The next prime is 409415429. The reversal of 409415418 is 814514904.

It is a super-2 number, since 2×409415418² = 335241968992229448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409415411) 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 31 ways as a sum of consecutive naturals, for example, 1477896 + ... + 1478172.

It is an arithmetic number, because the mean of its divisors is an integer number (14461560).

Almost surely, 2^409415418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409415418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462769920).

409415418 is an abundant number, since it is smaller than the sum of its proper divisors (516124422).

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

409415418 is a wasteful number, since it uses less digits than its factorization.

409415418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 409415418 is about 20234.0163585977. The cubic root of 409415418 is about 742.5426401387.

The spelling of 409415418 in words is "four hundred nine million, four hundred fifteen thousand, four hundred eighteen".