408132912 has 160 divisors (see below), whose sum is σ = 1189923840. Its totient is φ = 119496960.

The previous prime is 408132911. The next prime is 408132919. The reversal of 408132912 is 219231804.

It is a self number, because there is not a number n which added to its sum of digits gives 408132912.

It is not an unprimeable number, because it can be changed into a prime (408132911) 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, 2936139 + ... + 2936277.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2^408132912 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 408132912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594961920).

408132912 is an abundant number, since it is smaller than the sum of its proper divisors (781790928).

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

408132912 is a wasteful number, since it uses less digits than its factorization.

408132912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 408132912 is about 20202.2996710771. The cubic root of 408132912 is about 741.7664834782.

The spelling of 408132912 in words is "four hundred eight million, one hundred thirty-two thousand, nine hundred twelve".