405303528 has 128 divisors (see below), whose sum is σ = 1234206720. Its totient is φ = 108272640.

The previous prime is 405303527. The next prime is 405303533. The reversal of 405303528 is 825303504.

It is a junction number, because it is equal to n+sod(n) for n = 405303495 and 405303504.

It is not an unprimeable number, because it can be changed into a prime (405303527) 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 31 ways as a sum of consecutive naturals, for example, 545125 + ... + 545867.

It is an arithmetic number, because the mean of its divisors is an integer number (9642240).

Almost surely, 2^405303528 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 405303528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

405303528 is an abundant number, since it is smaller than the sum of its proper divisors (828903192).

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

405303528 is a wasteful number, since it uses less digits than its factorization.

405303528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 405303528 is about 20132.1515988729. The cubic root of 405303528 is about 740.0484068651.

The spelling of 405303528 in words is "four hundred five million, three hundred three thousand, five hundred twenty-eight".