405415332 has 72 divisors (see below), whose sum is σ = 1179849216. Its totient is φ = 114977664.

The previous prime is 405415277. The next prime is 405415343. The reversal of 405415332 is 233514504.

405415332 is a `hidden beast` number, since 40 + 541 + 53 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405415296 and 405415305.

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 23 ways as a sum of consecutive naturals, for example, 28653 + ... + 40395.

Almost surely, 2^405415332 is an apocalyptic number.

405415332 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 405415332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589924608).

405415332 is an abundant number, since it is smaller than the sum of its proper divisors (774433884).

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

405415332 is a wasteful number, since it uses less digits than its factorization.

405415332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11892 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 405415332 is about 20134.9281597924. The cubic root of 405415332 is about 740.1164486819.

Adding to 405415332 its reverse (233514504), we get a palindrome (638929836).

The spelling of 405415332 in words is "four hundred five million, four hundred fifteen thousand, three hundred thirty-two".