506620320 has 96 divisors (see below), whose sum is σ = 1603348992. Its totient is φ = 134464512.

The previous prime is 506620273. The next prime is 506620327. The reversal of 506620320 is 23026605.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (506620327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104674 + ... + 109406.

It is an arithmetic number, because the mean of its divisors is an integer number (16701552).

Almost surely, 2^506620320 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 506620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801674496).

506620320 is an abundant number, since it is smaller than the sum of its proper divisors (1096728672).

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

506620320 is a wasteful number, since it uses less digits than its factorization.

506620320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4966 counting only the distinct ones).

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

The square root of 506620320 is about 22508.2278289518. The cubic root of 506620320 is about 797.1882122236.

Adding to 506620320 its reverse (23026605), we get a palindrome (529646925).

The spelling of 506620320 in words is "five hundred six million, six hundred twenty thousand, three hundred twenty".