506337120 has 144 divisors (see below), whose sum is σ = 1736607600. Its totient is φ = 134341632.

The previous prime is 506337113. The next prime is 506337133. The reversal of 506337120 is 21733605.

It is a happy number.

506337120 is a `hidden beast` number, since 5 + 0 + 633 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326106 + ... + 327654.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^506337120 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 506337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868303800).

506337120 is an abundant number, since it is smaller than the sum of its proper divisors (1230270480).

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

506337120 is a wasteful number, since it uses less digits than its factorization.

506337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 506337120 is about 22501.9359167161. The cubic root of 506337120 is about 797.0396421978.

The spelling of 506337120 in words is "five hundred six million, three hundred thirty-seven thousand, one hundred twenty".