506339988 has 144 divisors (see below), whose sum is σ = 1532977152. Its totient is φ = 127195200.

The previous prime is 506339959. The next prime is 506340017. The reversal of 506339988 is 889933605.

It is an interprime number because it is at equal distance from previous prime (506339959) and next prime (506340017).

It is a self number, because there is not a number n which added to its sum of digits gives 506339988.

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, 314281 + ... + 315887.

Almost surely, 2^506339988 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 506339988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766488576).

506339988 is an abundant number, since it is smaller than the sum of its proper divisors (1026637164).

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

506339988 is a wasteful number, since it uses less digits than its factorization.

506339988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 506339988 is about 22501.9996444760. Note that the first 3 decimals coincide. The cubic root of 506339988 is about 797.0411470617.

The spelling of 506339988 in words is "five hundred six million, three hundred thirty-nine thousand, nine hundred eighty-eight".