504255360 has 256 divisors, whose sum is σ = 1945866240. Its totient is φ = 108429312.

The previous prime is 504255347. The next prime is 504255361. The reversal of 504255360 is 63552405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504255361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227377 + ... + 229583.

It is an arithmetic number, because the mean of its divisors is an integer number (7601040).

Almost surely, 2^504255360 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 504255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972933120).

504255360 is an abundant number, since it is smaller than the sum of its proper divisors (1441610880).

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

504255360 is a wasteful number, since it uses less digits than its factorization.

504255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 504255360 is about 22455.6309196602. The cubic root of 504255360 is about 795.9458225965.

The spelling of 504255360 in words is "five hundred four million, two hundred fifty-five thousand, three hundred sixty".