405866304 has 84 divisors (see below), whose sum is σ = 1170354276. Its totient is φ = 134473728.

The previous prime is 405866299. The next prime is 405866359. The reversal of 405866304 is 403668504.

405866304 is a `hidden beast` number, since 40 + 586 + 6 + 30 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 197121600 = 14448^2 + 14040^2 .

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 11 ways as a sum of consecutive naturals, for example, 97612 + ... + 101684.

It is an arithmetic number, because the mean of its divisors is an integer number (13932789).

Almost surely, 2^405866304 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 405866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585177138).

405866304 is an abundant number, since it is smaller than the sum of its proper divisors (764487972).

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

405866304 is a wasteful number, since it uses less digits than its factorization.

405866304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 405866304 is about 20146.1237959067. The cubic root of 405866304 is about 740.3907748571.

The spelling of 405866304 in words is "four hundred five million, eight hundred sixty-six thousand, three hundred four".