504384420 has 96 divisors (see below), whose sum is σ = 1435674240. Its totient is φ = 132295680.

The previous prime is 504384409. The next prime is 504384421. The reversal of 504384420 is 24483405.

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 (504384421) 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, 1523655 + ... + 1523985.

It is an arithmetic number, because the mean of its divisors is an integer number (14954940).

Almost surely, 2^504384420 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 504384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717837120).

504384420 is an abundant number, since it is smaller than the sum of its proper divisors (931289820).

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

504384420 is a wasteful number, since it uses less digits than its factorization.

504384420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 504384420 is about 22458.5044025643. The cubic root of 504384420 is about 796.0137220600.

The spelling of 504384420 in words is "five hundred four million, three hundred eighty-four thousand, four hundred twenty".