405609688 has 64 divisors (see below), whose sum is σ = 856915200. Its totient is φ = 178369920.

The previous prime is 405609661. The next prime is 405609691. The reversal of 405609688 is 886906504.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1129653 + ... + 1130011.

It is an arithmetic number, because the mean of its divisors is an integer number (13389300).

Almost surely, 2^405609688 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 405609688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428457600).

405609688 is an abundant number, since it is smaller than the sum of its proper divisors (451305512).

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

405609688 is a wasteful number, since it uses less digits than its factorization.

405609688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 405609688 is about 20139.7539210389. The cubic root of 405609688 is about 740.2347003287.

The spelling of 405609688 in words is "four hundred five million, six hundred nine thousand, six hundred eighty-eight".