505138788 has 384 divisors, whose sum is σ = 1806336000. Its totient is φ = 118039680.

The previous prime is 505138771. The next prime is 505138841. The reversal of 505138788 is 887831505.

It is a happy number.

505138788 is a `hidden beast` number, since 50 + 513 + 8 + 7 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3634023 + ... + 3634161.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2^505138788 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 505138788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168000).

505138788 is an abundant number, since it is smaller than the sum of its proper divisors (1301197212).

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

505138788 is a wasteful number, since it uses less digits than its factorization.

505138788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 505138788 is about 22475.2928345773. The cubic root of 505138788 is about 796.4103693638.

The spelling of 505138788 in words is "five hundred five million, one hundred thirty-eight thousand, seven hundred eighty-eight".