504420000 has 240 divisors, whose sum is σ = 1892544192. Its totient is φ = 115200000.

The previous prime is 504419987. The next prime is 504420013. The reversal of 504420000 is 24405.

It is an interprime number because it is at equal distance from previous prime (504419987) and next prime (504420013).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419400 + ... + 420600.

Almost surely, 2^504420000 is an apocalyptic number.

504420000 is a gapful number since it is divisible by the number (50) 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 504420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946272096).

504420000 is an abundant number, since it is smaller than the sum of its proper divisors (1388124192).

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

504420000 is a wasteful number, since it uses less digits than its factorization.

504420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 504420000 is about 22459.2965161423. The cubic root of 504420000 is about 796.0324389363.

Adding to 504420000 its reverse (24405), we get a palindrome (504444405).

The spelling of 504420000 in words is "five hundred four million, four hundred twenty thousand".