405520320 has 112 divisors (see below), whose sum is σ = 1292156928. Its totient is φ = 107750400.

The previous prime is 405520319. The next prime is 405520327. The reversal of 405520320 is 23025504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405520327) 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, 351745 + ... + 352895.

Almost surely, 2^405520320 is an apocalyptic number.

405520320 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 405520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646078464).

405520320 is an abundant number, since it is smaller than the sum of its proper divisors (886636608).

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

405520320 is a wasteful number, since it uses less digits than its factorization.

405520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 405520320 is about 20137.5351023903. The cubic root of 405520320 is about 740.1803310210.

Adding to 405520320 its reverse (23025504), we get a palindrome (428545824).

The spelling of 405520320 in words is "four hundred five million, five hundred twenty thousand, three hundred twenty".