504233760 has 96 divisors (see below), whose sum is σ = 1598692032. Its totient is φ = 133585920.

The previous prime is 504233729. The next prime is 504233767. The reversal of 504233760 is 67332405.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (504233767) 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, 72015 + ... + 78705.

It is an arithmetic number, because the mean of its divisors is an integer number (16653042).

Almost surely, 2^504233760 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 504233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799346016).

504233760 is an abundant number, since it is smaller than the sum of its proper divisors (1094458272).

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

504233760 is a wasteful number, since it uses less digits than its factorization.

504233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 504233760 is about 22455.1499660991. The cubic root of 504233760 is about 795.9344575378.

The spelling of 504233760 in words is "five hundred four million, two hundred thirty-three thousand, seven hundred sixty".