504332352 has 112 divisors (see below), whose sum is σ = 1560779200. Its totient is φ = 159252480.

The previous prime is 504332351. The next prime is 504332363. The reversal of 504332352 is 253233405.

It is a super-2 number, since 2×504332352² = 508702242547703808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (504332351) 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, 25152 + ... + 40512.

Almost surely, 2^504332352 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 504332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780389600).

504332352 is an abundant number, since it is smaller than the sum of its proper divisors (1056446848).

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

504332352 is a wasteful number, since it uses less digits than its factorization.

504332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15401 (or 15385 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 504332352 is about 22457.3451681182. The cubic root of 504332352 is about 795.9863300768.

Adding to 504332352 its reverse (253233405), we get a palindrome (757565757).

The spelling of 504332352 in words is "five hundred four million, three hundred thirty-two thousand, three hundred fifty-two".