405868320 has 576 divisors, whose sum is σ = 1710543744. Its totient is φ = 89579520.

The previous prime is 405868303. The next prime is 405868321. The reversal of 405868320 is 23868504.

405868320 is a `hidden beast` number, since 40 + 586 + 8 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405868321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559804 + ... + 5559876.

It is an arithmetic number, because the mean of its divisors is an integer number (2969694).

Almost surely, 2^405868320 is an apocalyptic number.

405868320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855271872).

405868320 is an abundant number, since it is smaller than the sum of its proper divisors (1304675424).

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

405868320 is a wasteful number, since it uses less digits than its factorization.

405868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 405868320 is about 20146.1738302835. The cubic root of 405868320 is about 740.3920007331.

The spelling of 405868320 in words is "four hundred five million, eight hundred sixty-eight thousand, three hundred twenty".