409415488 has 56 divisors (see below), whose sum is σ = 867290112. Its totient is φ = 191084544.

The previous prime is 409415473. The next prime is 409415521. The reversal of 409415488 is 884514904.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 136695 + ... + 139657.

Almost surely, 2^409415488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433645056).

409415488 is an abundant number, since it is smaller than the sum of its proper divisors (457874624).

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

409415488 is a wasteful number, since it uses less digits than its factorization.

409415488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 409415488 is about 20234.0180883580. The cubic root of 409415488 is about 742.5426824576.

The spelling of 409415488 in words is "four hundred nine million, four hundred fifteen thousand, four hundred eighty-eight".