405007368 has 128 divisors (see below), whose sum is σ = 1097902080. Its totient is φ = 124185600.

The previous prime is 405007349. The next prime is 405007373. The reversal of 405007368 is 863700504.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 2682093 + ... + 2682243.

It is an arithmetic number, because the mean of its divisors is an integer number (8577360).

Almost surely, 2^405007368 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 405007368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548951040).

405007368 is an abundant number, since it is smaller than the sum of its proper divisors (692894712).

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

405007368 is a wasteful number, since it uses less digits than its factorization.

405007368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 405007368 is about 20124.7948560973. The cubic root of 405007368 is about 739.8681089511.

The spelling of 405007368 in words is "four hundred five million, seven thousand, three hundred sixty-eight".