502800480 has 384 divisors, whose sum is σ = 2167603200. Its totient is φ = 106002432.

The previous prime is 502800457. The next prime is 502800481. The reversal of 502800480 is 84008205.

502800480 is a `hidden beast` number, since 502 + 80 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502800481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392481 + ... + 393759.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2^502800480 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 502800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083801600).

502800480 is an abundant number, since it is smaller than the sum of its proper divisors (1664802720).

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

502800480 is a wasteful number, since it uses less digits than its factorization.

502800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 502800480 is about 22423.2129722750. The cubic root of 502800480 is about 795.1795963063.

Adding to 502800480 its reverse (84008205), we get a palindrome (586808685).

The spelling of 502800480 in words is "five hundred two million, eight hundred thousand, four hundred eighty".