501120288 has 144 divisors (see below), whose sum is σ = 1588597920. Its totient is φ = 148912128.

The previous prime is 501120281. The next prime is 501120299. The reversal of 501120288 is 882021105.

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

It is a super-2 number, since 2×501120288² = 502243086090405888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501120281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90331 + ... + 95717.

It is an arithmetic number, because the mean of its divisors is an integer number (11031930).

Almost surely, 2^501120288 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 501120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794298960).

501120288 is an abundant number, since it is smaller than the sum of its proper divisors (1087477632).

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

501120288 is a wasteful number, since it uses less digits than its factorization.

501120288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 501120288 is about 22385.7161600874. The cubic root of 501120288 is about 794.2928659265.

The spelling of 501120288 in words is "five hundred one million, one hundred twenty thousand, two hundred eighty-eight".