504631296 has 273 divisors, whose sum is σ = 1638355629. Its totient is φ = 155271168.

The previous prime is 504631289. The next prime is 504631301. The reversal of 504631296 is 692136405.

It is a happy number.

The square root of 504631296 is 22464.

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

504631296 is a `hidden beast` number, since 504 + 63 + 1 + 2 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 429981696 = 8640^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 504631296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 38817786 + ... + 38817798.

Almost surely, 2^504631296 is an apocalyptic number.

504631296 is the 22464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504631296

504631296 is an abundant number, since it is smaller than the sum of its proper divisors (1133724333).

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

504631296 is an frugal number, since it uses more digits than its factorization.

504631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 504631296 is about 796.1435731698.

Multiplying 504631296 by its sum of digits (36), we get a square (18166726656 = 134784²).

504631296 divided by its sum of digits (36) gives a square (14017536 = 3744²).

The spelling of 504631296 in words is "five hundred four million, six hundred thirty-one thousand, two hundred ninety-six".