506254848 has 240 divisors, whose sum is σ = 1571524416. Its totient is φ = 143585280.

The previous prime is 506254843. The next prime is 506254877. The reversal of 506254848 is 848452605.

It is a super-3 number, since 3×506254848³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506254841) 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, 6099415 + ... + 6099497.

Almost surely, 2^506254848 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 506254848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785762208).

506254848 is an abundant number, since it is smaller than the sum of its proper divisors (1065269568).

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

506254848 is a wasteful number, since it uses less digits than its factorization.

506254848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 506254848 is about 22500.1077330754. The cubic root of 506254848 is about 796.9964709622.

The spelling of 506254848 in words is "five hundred six million, two hundred fifty-four thousand, eight hundred forty-eight".