502350480 has 240 divisors, whose sum is σ = 1758659760. Its totient is φ = 128397312.

The previous prime is 502350461. The next prime is 502350503. The reversal of 502350480 is 84053205.

502350480 = 288² + 289² + ... + 1152².

It can be written as a sum of positive squares in 8 ways, for example, as 114575616 + 387774864 = 10704^2 + 19692^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2903674 + ... + 2903846.

It is an arithmetic number, because the mean of its divisors is an integer number (7327749).

Almost surely, 2^502350480 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 502350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879329880).

502350480 is an abundant number, since it is smaller than the sum of its proper divisors (1256309280).

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

502350480 is a wasteful number, since it uses less digits than its factorization.

502350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 502350480 is about 22413.1764817038. The cubic root of 502350480 is about 794.9423003098.

The spelling of 502350480 in words is "five hundred two million, three hundred fifty thousand, four hundred eighty".