500601120 has 192 divisors, whose sum is σ = 1646459136. Its totient is φ = 127733760.

The previous prime is 500601109. The next prime is 500601121. The reversal of 500601120 is 21106005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 500601120.

It is not an unprimeable number, because it can be changed into a prime (500601121) 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 31 ways as a sum of consecutive naturals, for example, 1260762 + ... + 1261158.

It is an arithmetic number, because the mean of its divisors is an integer number (8575308).

Almost surely, 2^500601120 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 500601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823229568).

500601120 is an abundant number, since it is smaller than the sum of its proper divisors (1145858016).

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

500601120 is a wasteful number, since it uses less digits than its factorization.

500601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 500601120 is about 22374.1171892882. The cubic root of 500601120 is about 794.0184714427.

Adding to 500601120 its reverse (21106005), we get a palindrome (521707125).

The spelling of 500601120 in words is "five hundred million, six hundred one thousand, one hundred twenty".