502753680 has 480 divisors, whose sum is σ = 2096115840. Its totient is φ = 106168320.

The previous prime is 502753663. The next prime is 502753681. The reversal of 502753680 is 86357205.

502753680 is a `hidden beast` number, since 502 + 75 + 3 + 6 + 80 = 666.

It is a super-2 number, since 2×502753680² = 505522525507084800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (502753681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956112 + ... + 1956368.

It is an arithmetic number, because the mean of its divisors is an integer number (4366908).

Almost surely, 2^502753680 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 502753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048057920).

502753680 is an abundant number, since it is smaller than the sum of its proper divisors (1593362160).

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

502753680 is a wasteful number, since it uses less digits than its factorization.

502753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 502753680 is about 22422.1693865692. The cubic root of 502753680 is about 795.1549241210.

The spelling of 502753680 in words is "five hundred two million, seven hundred fifty-three thousand, six hundred eighty".