506404032 has 112 divisors (see below), whose sum is σ = 1401104640. Its totient is φ = 161215488.

The previous prime is 506404027. The next prime is 506404033. The reversal of 506404032 is 230404605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 506403993 and 506404011.

It is not an unprimeable number, because it can be changed into a prime (506404033) 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, 573063 + ... + 573945.

Almost surely, 2^506404032 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 506404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700552320).

506404032 is an abundant number, since it is smaller than the sum of its proper divisors (894700608).

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

506404032 is a wasteful number, since it uses less digits than its factorization.

506404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 506404032 is about 22503.4226730069. The cubic root of 506404032 is about 797.0747500113.

Adding to 506404032 its reverse (230404605), we get a palindrome (736808637).

The spelling of 506404032 in words is "five hundred six million, four hundred four thousand, thirty-two".