409194864 has 120 divisors (see below), whose sum is σ = 1239750512. Its totient is φ = 125245440.

The previous prime is 409194853. The next prime is 409194869. The reversal of 409194864 is 468491904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409194869) 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 23 ways as a sum of consecutive naturals, for example, 450699 + ... + 451605.

Almost surely, 2^409194864 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 409194864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619875256).

409194864 is an abundant number, since it is smaller than the sum of its proper divisors (830555648).

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

409194864 is a wasteful number, since it uses less digits than its factorization.

409194864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 409194864 is about 20228.5655447933. The cubic root of 409194864 is about 742.4092791244.

The spelling of 409194864 in words is "four hundred nine million, one hundred ninety-four thousand, eight hundred sixty-four".