405728064 has 168 divisors, whose sum is σ = 1357993728. Its totient is φ = 113402880.

The previous prime is 405728041. The next prime is 405728083. The reversal of 405728064 is 460827504.

405728064 is a `hidden beast` number, since 4 + 0 + 572 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188434 + ... + 190574.

It is an arithmetic number, because the mean of its divisors is an integer number (8083296).

Almost surely, 2^405728064 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 405728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678996864).

405728064 is an abundant number, since it is smaller than the sum of its proper divisors (952265664).

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

405728064 is a wasteful number, since it uses less digits than its factorization.

405728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 405728064 is about 20142.6925707563. The cubic root of 405728064 is about 740.3067051011.

The spelling of 405728064 in words is "four hundred five million, seven hundred twenty-eight thousand, sixty-four".