405527540 has 48 divisors (see below), whose sum is σ = 940826880. Its totient is φ = 145591680.

The previous prime is 405527531. The next prime is 405527557. The reversal of 405527540 is 45725504.

It is a junction number, because it is equal to n+sod(n) for n = 405527497 and 405527506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5714 + ... + 29046.

It is an arithmetic number, because the mean of its divisors is an integer number (19600560).

Almost surely, 2^405527540 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 405527540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470413440).

405527540 is an abundant number, since it is smaller than the sum of its proper divisors (535299340).

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

405527540 is a wasteful number, since it uses less digits than its factorization.

405527540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23432 (or 23430 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 405527540 is about 20137.7143688155. The cubic root of 405527540 is about 740.1847237892.

The spelling of 405527540 in words is "four hundred five million, five hundred twenty-seven thousand, five hundred forty".