506241360 has 160 divisors (see below), whose sum is σ = 1768815360. Its totient is φ = 133056000.

The previous prime is 506241353. The next prime is 506241367. The reversal of 506241360 is 63142605.

506241360 is a `hidden beast` number, since 5 + 0 + 624 + 1 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506241353) and next prime (506241367).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506241367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151710 + ... + 155010.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^506241360 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 506241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884407680).

506241360 is an abundant number, since it is smaller than the sum of its proper divisors (1262574000).

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

506241360 is a wasteful number, since it uses less digits than its factorization.

506241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506241360 is about 22499.8079991808. The cubic root of 506241360 is about 796.9893928513.

Adding to 506241360 its reverse (63142605), we get a palindrome (569383965).

It can be divided in two parts, 50624 and 1360, that added together give a square (51984 = 228²).

The spelling of 506241360 in words is "five hundred six million, two hundred forty-one thousand, three hundred sixty".