504306432 has 216 divisors, whose sum is σ = 1735969200. Its totient is φ = 143990784.

The previous prime is 504306431. The next prime is 504306463. The reversal of 504306432 is 234603405.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 504306396 and 504306405.

It is not an unprimeable number, because it can be changed into a prime (504306431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337944 + ... + 339432.

Almost surely, 2^504306432 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 504306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867984600).

504306432 is an abundant number, since it is smaller than the sum of its proper divisors (1231662768).

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

504306432 is a wasteful number, since it uses less digits than its factorization.

504306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 504306432 is about 22456.7680666653. The cubic root of 504306432 is about 795.9726933555.

Adding to 504306432 its reverse (234603405), we get a palindrome (738909837).

It can be divided in two parts, 504 and 306432, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 504306432 in words is "five hundred four million, three hundred six thousand, four hundred thirty-two".