405443376 has 120 divisors (see below), whose sum is σ = 1233792560. Its totient is φ = 123545088.

The previous prime is 405443359. The next prime is 405443377. The reversal of 405443376 is 673344504.

It is a happy number.

405443376 is a `hidden beast` number, since 40 + 544 + 3 + 3 + 76 = 666.

It is a super-2 number, since 2×405443376² = 328768662284554752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 405443376.

It is not an unprimeable number, because it can be changed into a prime (405443377) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 203055 + ... + 205041.

Almost surely, 2^405443376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405443376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896280).

405443376 is an abundant number, since it is smaller than the sum of its proper divisors (828349184).

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

405443376 is a wasteful number, since it uses less digits than its factorization.

405443376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 405443376 is about 20135.6245495391. The cubic root of 405443376 is about 740.1335137716.

The spelling of 405443376 in words is "four hundred five million, four hundred forty-three thousand, three hundred seventy-six".