504324000 has 144 divisors (see below), whose sum is σ = 1789973640. Its totient is φ = 134476800.

The previous prime is 504323993. The next prime is 504324001. The reversal of 504324000 is 423405.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 222487056 + 281836944 = 14916^2 + 16788^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504324001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28996 + ... + 43004.

Almost surely, 2^504324000 is an apocalyptic number.

504324000 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 504324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894986820).

504324000 is an abundant number, since it is smaller than the sum of its proper divisors (1285649640).

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

504324000 is a wasteful number, since it uses less digits than its factorization.

504324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14040 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 504324000 is about 22457.1592148250. The cubic root of 504324000 is about 795.9819360732.

Adding to 504324000 its reverse (423405), we get a palindrome (504747405).

The spelling of 504324000 in words is "five hundred four million, three hundred twenty-four thousand".