405563232 has 96 divisors (see below), whose sum is σ = 1124782848. Its totient is φ = 127694336.

The previous prime is 405563183. The next prime is 405563233. The reversal of 405563232 is 232365504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 405563232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405563233) 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, 182158 + ... + 184370.

It is an arithmetic number, because the mean of its divisors is an integer number (11716488).

Almost surely, 2^405563232 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 405563232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562391424).

405563232 is an abundant number, since it is smaller than the sum of its proper divisors (719219616).

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

405563232 is a wasteful number, since it uses less digits than its factorization.

405563232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 405563232 is about 20138.6005472078. The cubic root of 405563232 is about 740.2064386302.

The spelling of 405563232 in words is "four hundred five million, five hundred sixty-three thousand, two hundred thirty-two".