504002500 has 45 divisors (see below), whose sum is σ = 1104612817. Its totient is φ = 201152000.

The previous prime is 504002497. The next prime is 504002501. The reversal of 504002500 is 5200405.

It is a happy number.

The square root of 504002500 is 22450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 336869316 + 167133184 = 18354^2 + 12928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504002501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1122276 + ... + 1122724.

Almost surely, 2^504002500 is an apocalyptic number.

504002500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

504002500 is the 22450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504002500

504002500 is an abundant number, since it is smaller than the sum of its proper divisors (600610317).

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

504002500 is an frugal number, since it uses more digits than its factorization.

504002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The cubic root of 504002500 is about 795.8127574029.

Multiplying 504002500 by its sum of digits (16), we get a square (8064040000 = 89800²).

Adding to 504002500 its reverse (5200405), we get a palindrome (509202905).

It can be divided in two parts, 50400 and 2500, that added together give a square (52900 = 230²).

The spelling of 504002500 in words is "five hundred four million, two thousand, five hundred".