405552320 has 56 divisors (see below), whose sum is σ = 989307648. Its totient is φ = 158259200.

The previous prime is 405552299. The next prime is 405552373. The reversal of 405552320 is 23255504.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 405552320.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2336 + ... + 28575.

It is an arithmetic number, because the mean of its divisors is an integer number (17666208).

Almost surely, 2^405552320 is an apocalyptic number.

405552320 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 405552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494653824).

405552320 is an abundant number, since it is smaller than the sum of its proper divisors (583755328).

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

405552320 is a wasteful number, since it uses less digits than its factorization.

405552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30969 (or 30959 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 405552320 is about 20138.3296228858. The cubic root of 405552320 is about 740.1997999571.

It can be divided in two parts, 40555 and 2320, that added together give a cube (42875 = 35³).

The spelling of 405552320 in words is "four hundred five million, five hundred fifty-two thousand, three hundred twenty".