405317316 has 48 divisors (see below), whose sum is σ = 1000427904. Its totient is φ = 127454976.

The previous prime is 405317287. The next prime is 405317317. The reversal of 405317316 is 613713504.

It is not an unprimeable number, because it can be changed into a prime (405317317) by changing a digit.

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, 10090 + ... + 30206.

It is an arithmetic number, because the mean of its divisors is an integer number (20842248).

Almost surely, 2^405317316 is an apocalyptic number.

405317316 is a gapful number since it is divisible by the number (46) 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 405317316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500213952).

405317316 is an abundant number, since it is smaller than the sum of its proper divisors (595110588).

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

405317316 is a wasteful number, since it uses less digits than its factorization.

405317316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20220 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 405317316 is about 20132.4940332786. The cubic root of 405317316 is about 740.0567986595.

The spelling of 405317316 in words is "four hundred five million, three hundred seventeen thousand, three hundred sixteen".