506623248 has 100 divisors (see below), whose sum is σ = 1500580048. Its totient is φ = 164928960.

The previous prime is 506623241. The next prime is 506623259. The reversal of 506623248 is 842326605.

506623248 is a `hidden beast` number, since 5 + 0 + 6 + 623 + 24 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (506623241) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 51183 + ... + 60273.

Almost surely, 2^506623248 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 506623248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750290024).

506623248 is an abundant number, since it is smaller than the sum of its proper divisors (993956800).

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

506623248 is a wasteful number, since it uses less digits than its factorization.

506623248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9154 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 506623248 is about 22508.2928717395. The cubic root of 506623248 is about 797.1897479973.

The spelling of 506623248 in words is "five hundred six million, six hundred twenty-three thousand, two hundred forty-eight".