506241776 has 80 divisors (see below), whose sum is σ = 1140998400. Its totient is φ = 215829504.

The previous prime is 506241767. The next prime is 506241779. The reversal of 506241776 is 677142605.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506241779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116735 + ... + 120993.

It is an arithmetic number, because the mean of its divisors is an integer number (14262480).

Almost surely, 2^506241776 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 506241776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570499200).

506241776 is an abundant number, since it is smaller than the sum of its proper divisors (634756624).

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

506241776 is a wasteful number, since it uses less digits than its factorization.

506241776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 506241776 is about 22499.8172437022. The cubic root of 506241776 is about 796.9896111579.

The spelling of 506241776 in words is "five hundred six million, two hundred forty-one thousand, seven hundred seventy-six".