506602320 has 320 divisors, whose sum is σ = 1928448000. Its totient is φ = 107440128.

The previous prime is 506602289. The next prime is 506602321. The reversal of 506602320 is 23206605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506602321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1883146 + ... + 1883414.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2^506602320 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 506602320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964224000).

506602320 is an abundant number, since it is smaller than the sum of its proper divisors (1421845680).

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

506602320 is a wasteful number, since it uses less digits than its factorization.

506602320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 506602320 is about 22507.8279716191. The cubic root of 506602320 is about 797.1787708614.

Adding to 506602320 its reverse (23206605), we get a palindrome (529808925).

The spelling of 506602320 in words is "five hundred six million, six hundred two thousand, three hundred twenty".