405323504 has 80 divisors (see below), whose sum is σ = 857028480. Its totient is φ = 185068800.

The previous prime is 405323473. The next prime is 405323507.

405323504 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405323507) 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, 1320119 + ... + 1320425.

It is an arithmetic number, because the mean of its divisors is an integer number (10712856).

Almost surely, 2^405323504 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 405323504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428514240).

405323504 is an abundant number, since it is smaller than the sum of its proper divisors (451704976).

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

405323504 is a wasteful number, since it uses less digits than its factorization.

405323504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 405323504 is about 20132.6477145953. The cubic root of 405323504 is about 740.0605648019.

The spelling of 405323504 in words is "four hundred five million, three hundred twenty-three thousand, five hundred four".