503124480 has 320 divisors, whose sum is σ = 1856131200. Its totient is φ = 129024000.

The previous prime is 503124449. The next prime is 503124481. The reversal of 503124480 is 84421305.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (503124481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004355 + ... + 2004605.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2^503124480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928065600).

503124480 is an abundant number, since it is smaller than the sum of its proper divisors (1353006720).

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

503124480 is a wasteful number, since it uses less digits than its factorization.

503124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 503124480 is about 22430.4364647681. The cubic root of 503124480 is about 795.3503617685.

Adding to 503124480 its reverse (84421305), we get a palindrome (587545785).

The spelling of 503124480 in words is "five hundred three million, one hundred twenty-four thousand, four hundred eighty".