405069336 has 288 divisors, whose sum is σ = 1394615040. Its totient is φ = 107868672.

The previous prime is 405069317. The next prime is 405069347. The reversal of 405069336 is 633960504.

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

It is a self number, because there is not a number n which added to its sum of digits gives 405069336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3932661 + ... + 3932763.

Almost surely, 2^405069336 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 405069336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697307520).

405069336 is an abundant number, since it is smaller than the sum of its proper divisors (989545704).

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

405069336 is a wasteful number, since it uses less digits than its factorization.

405069336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 405069336 is about 20126.3343905441. The cubic root of 405069336 is about 739.9058414406.

The spelling of 405069336 in words is "four hundred five million, sixty-nine thousand, three hundred thirty-six".