505004688 has 60 divisors (see below), whose sum is σ = 1420494400. Its totient is φ = 167479488.

The previous prime is 505004671. The next prime is 505004701. The reversal of 505004688 is 886400505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19845 + ... + 37467.

Almost surely, 2^505004688 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 505004688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710247200).

505004688 is an abundant number, since it is smaller than the sum of its proper divisors (915489712).

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

505004688 is a wasteful number, since it uses less digits than its factorization.

505004688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17836 (or 17827 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 505004688 is about 22472.3093606331. The cubic root of 505004688 is about 796.3398883494.

The spelling of 505004688 in words is "five hundred five million, four thousand, six hundred eighty-eight".