508002 has 32 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 149520.

The previous prime is 507979. The next prime is 508009. The reversal of 508002 is 200805.

It is not an unprimeable number, because it can be changed into a prime (508009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2749 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁵⁰⁸⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240).

508002 is an abundant number, since it is smaller than the sum of its proper divisors (632478).

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

508002 is a wasteful number, since it uses less digits than its factorization.

508002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 508002 is about 712.7425902807. The cubic root of 508002 is about 79.7912264775.

Adding to 508002 its reverse (200805), we get a palindrome (708807).

The spelling of 508002 in words is "five hundred eight thousand, two".