504419328 has 198 divisors, whose sum is σ = 1695812586. Its totient is φ = 143990784.

The previous prime is 504419317. The next prime is 504419329. The reversal of 504419328 is 823914405.

504419328 is a `hidden beast` number, since 504 + 41 + 93 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305270784 + 199148544 = 17472^2 + 14112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 504419292 and 504419301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504419329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451026 + ... + 452142.

Almost surely, 2^504419328 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 504419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847906293).

504419328 is an abundant number, since it is smaller than the sum of its proper divisors (1191393258).

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

504419328 is a wasteful number, since it uses less digits than its factorization.

504419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 504419328 is about 22459.2815557399. The cubic root of 504419328 is about 796.0320854385.

The spelling of 504419328 in words is "five hundred four million, four hundred nineteen thousand, three hundred twenty-eight".