504240000 has 320 divisors, whose sum is σ = 1835412480. Its totient is φ = 121600000.

The previous prime is 504239903. The next prime is 504240001. The reversal of 504240000 is 42405.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639905 + ... + 2640095.

It is an arithmetic number, because the mean of its divisors is an integer number (5735664).

Almost surely, 2^504240000 is an apocalyptic number.

504240000 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 504240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917706240).

504240000 is an abundant number, since it is smaller than the sum of its proper divisors (1331172480).

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

504240000 is a wasteful number, since it uses less digits than its factorization.

504240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

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

The square root of 504240000 is about 22455.2889092971. The cubic root of 504240000 is about 795.9377408103.

Adding to 504240000 its reverse (42405), we get a palindrome (504282405).

The spelling of 504240000 in words is "five hundred four million, two hundred forty thousand".