405397320 has 64 divisors (see below), whose sum is σ = 1227597120. Its totient is φ = 107092224.

The previous prime is 405397259. The next prime is 405397327. The reversal of 405397320 is 23793504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405397327) 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, 2947 + ... + 28626.

It is an arithmetic number, because the mean of its divisors is an integer number (19181205).

Almost surely, 2^405397320 is an apocalyptic number.

405397320 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 405397320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613798560).

405397320 is an abundant number, since it is smaller than the sum of its proper divisors (822199800).

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

405397320 is a wasteful number, since it uses less digits than its factorization.

405397320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31694 (or 31690 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 405397320 is about 20134.4808723741. The cubic root of 405397320 is about 740.1054877620.

The spelling of 405397320 in words is "four hundred five million, three hundred ninety-seven thousand, three hundred twenty".