405301316 has 48 divisors (see below), whose sum is σ = 856289280. Its totient is φ = 164172960.

The previous prime is 405301289. The next prime is 405301319. The reversal of 405301316 is 613103504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 405301291 and 405301300.

It is not an unprimeable number, because it can be changed into a prime (405301319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31895 + ... + 42753.

It is an arithmetic number, because the mean of its divisors is an integer number (17839360).

Almost surely, 2^405301316 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 405301316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428144640).

405301316 is an abundant number, since it is smaller than the sum of its proper divisors (450987964).

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

405301316 is a wasteful number, since it uses less digits than its factorization.

405301316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 405301316 is about 20132.0966617985. The cubic root of 405301316 is about 740.0470605571.

The spelling of 405301316 in words is "four hundred five million, three hundred one thousand, three hundred sixteen".