508788 has 48 divisors (see below), whose sum is σ = 1509760. Its totient is φ = 145152.

The previous prime is 508771. The next prime is 508789. The reversal of 508788 is 887805.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 1092.

2⁵⁰⁸⁷⁸⁸ 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 508788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754880).

508788 is an abundant number, since it is smaller than the sum of its proper divisors (1000972).

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

508788 is a wasteful number, since it uses less digits than its factorization.

508788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 508788 is about 713.2937683732. The cubic root of 508788 is about 79.8323572777.

It can be divided in two parts, 508 and 788, that added together give a 4-th power (1296 = 6⁴).

The spelling of 508788 in words is "five hundred eight thousand, seven hundred eighty-eight".