405729216 has 112 divisors (see below), whose sum is σ = 1209934080. Its totient is φ = 133297920.

The previous prime is 405729197. The next prime is 405729277. The reversal of 405729216 is 612927504.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121035 + ... + 124341.

Almost surely, 2^405729216 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 405729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604967040).

405729216 is an abundant number, since it is smaller than the sum of its proper divisors (804204864).

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

405729216 is a wasteful number, since it uses less digits than its factorization.

405729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 405729216 is about 20142.7211667143. The cubic root of 405729216 is about 740.3074057613.

The spelling of 405729216 in words is "four hundred five million, seven hundred twenty-nine thousand, two hundred sixteen".