405213320 has 64 divisors (see below), whose sum is σ = 945319680. Its totient is φ = 156220416.

The previous prime is 405213311. The next prime is 405213331. The reversal of 405213320 is 23312504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 405213292 and 405213301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124352 + ... + 127568.

It is an arithmetic number, because the mean of its divisors is an integer number (14770620).

Almost surely, 2^405213320 is an apocalyptic number.

405213320 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 405213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472659840).

405213320 is an abundant number, since it is smaller than the sum of its proper divisors (540106360).

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

405213320 is a wasteful number, since it uses less digits than its factorization.

405213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 405213320 is about 20129.9110777966. The cubic root of 405213320 is about 739.9934988472.

Adding to 405213320 its reverse (23312504), we get a palindrome (428525824).

The spelling of 405213320 in words is "four hundred five million, two hundred thirteen thousand, three hundred twenty".