506617748 has 192 divisors, whose sum is σ = 1264435200. Its totient is φ = 171694080.

The previous prime is 506617723. The next prime is 506617751. The reversal of 506617748 is 847716605.

It is a junction number, because it is equal to n+sod(n) for n = 506617699 and 506617708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3644663 + ... + 3644801.

It is an arithmetic number, because the mean of its divisors is an integer number (6585600).

Almost surely, 2^506617748 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 506617748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632217600).

506617748 is an abundant number, since it is smaller than the sum of its proper divisors (757817452).

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

506617748 is a wasteful number, since it uses less digits than its factorization.

506617748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 506617748 is about 22508.1706942168. The cubic root of 506617748 is about 797.1868631715.

The spelling of 506617748 in words is "five hundred six million, six hundred seventeen thousand, seven hundred forty-eight".