504912384 has 240 divisors, whose sum is σ = 1574601600. Its totient is φ = 155271168.

The previous prime is 504912377. The next prime is 504912391. The reversal of 504912384 is 483219405.

It is an interprime number because it is at equal distance from previous prime (504912377) and next prime (504912391).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6391257 + ... + 6391335.

It is an arithmetic number, because the mean of its divisors is an integer number (6560840).

Almost surely, 2^504912384 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 504912384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787300800).

504912384 is an abundant number, since it is smaller than the sum of its proper divisors (1069689216).

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

504912384 is a wasteful number, since it uses less digits than its factorization.

504912384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

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

The square root of 504912384 is about 22470.2555392679. The cubic root of 504912384 is about 796.2913674560.

The spelling of 504912384 in words is "five hundred four million, nine hundred twelve thousand, three hundred eighty-four".