504193536 has 480 divisors, whose sum is σ = 1915056000. Its totient is φ = 126443520.

The previous prime is 504193499. The next prime is 504193537. The reversal of 504193536 is 635391405.

It is a super-2 number, since 2×504193536² = 508422243488366592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 504193536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504193537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17385970 + ... + 17385998.

It is an arithmetic number, because the mean of its divisors is an integer number (3989700).

Almost surely, 2^504193536 is an apocalyptic number.

504193536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528000).

504193536 is an abundant number, since it is smaller than the sum of its proper divisors (1410862464).

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

504193536 is a wasteful number, since it uses less digits than its factorization.

504193536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 504193536 is about 22454.2542962353. The cubic root of 504193536 is about 795.9132924080.

The spelling of 504193536 in words is "five hundred four million, one hundred ninety-three thousand, five hundred thirty-six".