502485408 has 72 divisors (see below), whose sum is σ = 1438173828. Its totient is φ = 166413312.

The previous prime is 502485391. The next prime is 502485409. The reversal of 502485408 is 804584205.

502485408 is a `hidden beast` number, since 5 + 0 + 248 + 5 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 401120784 + 101364624 = 20028^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (502485409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39660 + ... + 50772.

Almost surely, 2^502485408 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 502485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719086914).

502485408 is an abundant number, since it is smaller than the sum of its proper divisors (935688420).

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

502485408 is a wasteful number, since it uses less digits than its factorization.

502485408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 502485408 is about 22416.1862947291. The cubic root of 502485408 is about 795.0134660114.

The spelling of 502485408 in words is "five hundred two million, four hundred eighty-five thousand, four hundred eight".