409520832 has 336 divisors, whose sum is σ = 1389888000. Its totient is φ = 105670656.

The previous prime is 409520831. The next prime is 409520857. The reversal of 409520832 is 238025904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 409520793 and 409520802.

It is not an unprimeable number, because it can be changed into a prime (409520831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5183769 + ... + 5183847.

Almost surely, 2^409520832 is an apocalyptic number.

409520832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944000).

409520832 is an abundant number, since it is smaller than the sum of its proper divisors (980367168).

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

409520832 is a wasteful number, since it uses less digits than its factorization.

409520832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 409520832 is about 20236.6210618275. The cubic root of 409520832 is about 742.6063632502.

The spelling of 409520832 in words is "four hundred nine million, five hundred twenty thousand, eight hundred thirty-two".