506488320 has 480 divisors, whose sum is σ = 2010808800. Its totient is φ = 116785152.

The previous prime is 506488249. The next prime is 506488321. The reversal of 506488320 is 23884605.

506488320 is a `hidden beast` number, since 5 + 0 + 648 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506488321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690836 + ... + 5690924.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^506488320 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 506488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005404400).

506488320 is an abundant number, since it is smaller than the sum of its proper divisors (1504320480).

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

506488320 is a wasteful number, since it uses less digits than its factorization.

506488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 506488320 is about 22505.2953768663. The cubic root of 506488320 is about 797.1189703736.

The spelling of 506488320 in words is "five hundred six million, four hundred eighty-eight thousand, three hundred twenty".