405000864 has 96 divisors (see below), whose sum is σ = 1219438080. Its totient is φ = 130636800.

The previous prime is 405000857. The next prime is 405000881. The reversal of 405000864 is 468000504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 19224 + ... + 34344.

It is an arithmetic number, because the mean of its divisors is an integer number (12702480).

Almost surely, 2^405000864 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 405000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609719040).

405000864 is an abundant number, since it is smaller than the sum of its proper divisors (814437216).

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

405000864 is a wasteful number, since it uses less digits than its factorization.

405000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 405000864 is about 20124.6332637392. The cubic root of 405000864 is about 739.8641484240.

The spelling of 405000864 in words is "four hundred five million, eight hundred sixty-four", and thus it is an aban number.