506286816 has 144 divisors (see below), whose sum is σ = 1582568064. Its totient is φ = 141232896.

The previous prime is 506286811. The next prime is 506286853. The reversal of 506286816 is 618682605.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506286811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201021 + ... + 203523.

It is an arithmetic number, because the mean of its divisors is an integer number (10990056).

Almost surely, 2^506286816 is an apocalyptic number.

506286816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506286816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791284032).

506286816 is an abundant number, since it is smaller than the sum of its proper divisors (1076281248).

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

506286816 is a wasteful number, since it uses less digits than its factorization.

506286816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 506286816 is about 22500.8181184596. The cubic root of 506286816 is about 797.0132463386.

The spelling of 506286816 in words is "five hundred six million, two hundred eighty-six thousand, eight hundred sixteen".