504488192 has 144 divisors (see below), whose sum is σ = 1184187312. Its totient is φ = 212336640.

The previous prime is 504488191. The next prime is 504488197. The reversal of 504488192 is 291884405.

It can be written as a sum of positive squares in 8 ways, for example, as 47554816 + 456933376 = 6896^2 + 21376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504488191) 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, 2093192 + ... + 2093432.

It is an arithmetic number, because the mean of its divisors is an integer number (8223523).

Almost surely, 2^504488192 is an apocalyptic number.

504488192 is a gapful number since it is divisible by the number (52) 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 504488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592093656).

504488192 is an abundant number, since it is smaller than the sum of its proper divisors (679699120).

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

504488192 is a wasteful number, since it uses less digits than its factorization.

504488192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 504488192 is about 22460.8145889681. The cubic root of 504488192 is about 796.0683089111.

The spelling of 504488192 in words is "five hundred four million, four hundred eighty-eight thousand, one hundred ninety-two".