506908224 has 168 divisors, whose sum is σ = 1537728192. Its totient is φ = 159329280.

The previous prime is 506908223. The next prime is 506908229. The reversal of 506908224 is 422809605.

It is a happy number.

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 (506908223) 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, 1099354 + ... + 1099814.

It is an arithmetic number, because the mean of its divisors is an integer number (9153144).

Almost surely, 2^506908224 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 506908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768864096).

506908224 is an abundant number, since it is smaller than the sum of its proper divisors (1030819968).

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

506908224 is a wasteful number, since it uses less digits than its factorization.

506908224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506908224 is about 22514.6224485333. The cubic root of 506908224 is about 797.3391932794.

The spelling of 506908224 in words is "five hundred six million, nine hundred eight thousand, two hundred twenty-four".