405335232 has 112 divisors (see below), whose sum is σ = 1201643520. Its totient is φ = 133975296.

The previous prime is 405335207. The next prime is 405335263. The reversal of 405335232 is 232533504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 405335196 and 405335205.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 218533 + ... + 220379.

It is an arithmetic number, because the mean of its divisors is an integer number (10728960).

Almost surely, 2^405335232 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 405335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600821760).

405335232 is an abundant number, since it is smaller than the sum of its proper divisors (796308288).

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

405335232 is a wasteful number, since it uses less digits than its factorization.

405335232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 405335232 is about 20132.9389806854. The cubic root of 405335232 is about 740.0677025956.

Adding to 405335232 its reverse (232533504), we get a palindrome (637868736).

The spelling of 405335232 in words is "four hundred five million, three hundred thirty-five thousand, two hundred thirty-two".