409082832 has 160 divisors (see below), whose sum is σ = 1267954560. Its totient is φ = 125798400.

The previous prime is 409082831. The next prime is 409082837. The reversal of 409082832 is 238280904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409082831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388707 + ... + 389757.

It is an arithmetic number, because the mean of its divisors is an integer number (7924716).

Almost surely, 2^409082832 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 409082832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633977280).

409082832 is an abundant number, since it is smaller than the sum of its proper divisors (858871728).

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

409082832 is a wasteful number, since it uses less digits than its factorization.

409082832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 409082832 is about 20225.7962018804. The cubic root of 409082832 is about 742.3415190786.

The spelling of 409082832 in words is "four hundred nine million, eighty-two thousand, eight hundred thirty-two".