405224320 has 64 divisors (see below), whose sum is σ = 992431440. Its totient is φ = 158126080.

The previous prime is 405224293. The next prime is 405224329. The reversal of 405224320 is 23422504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 405224291 and 405224300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405224329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18519 + ... + 33961.

Almost surely, 2^405224320 is an apocalyptic number.

405224320 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 405224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496215720).

405224320 is an abundant number, since it is smaller than the sum of its proper divisors (587207120).

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

405224320 is a wasteful number, since it uses less digits than its factorization.

405224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15503 (or 15491 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 405224320 is about 20130.1843011931. The cubic root of 405224320 is about 740.0001947893. Note that the first 3 decimals are identical.

Adding to 405224320 its reverse (23422504), we get a palindrome (428646824).

The spelling of 405224320 in words is "four hundred five million, two hundred twenty-four thousand, three hundred twenty".