506038848 has 112 divisors (see below), whose sum is σ = 1562916864. Its totient is φ = 141488640.

The previous prime is 506038831. The next prime is 506038853. The reversal of 506038848 is 848830605.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 59163 + ... + 67173.

Almost surely, 2^506038848 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 506038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781458432).

506038848 is an abundant number, since it is smaller than the sum of its proper divisors (1056878016).

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

506038848 is a wasteful number, since it uses less digits than its factorization.

506038848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 506038848 is about 22495.3072439565. The cubic root of 506038848 is about 796.8831053139.

The spelling of 506038848 in words is "five hundred six million, thirty-eight thousand, eight hundred forty-eight".