501164160 has 256 divisors, whose sum is σ = 1865376000. Its totient is φ = 114401280.

The previous prime is 501164143. The next prime is 501164249. The reversal of 501164160 is 61461105.

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

It is a self number, because there is not a number n which added to its sum of digits gives 501164160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658180 + ... + 658940.

It is an arithmetic number, because the mean of its divisors is an integer number (7286625).

Almost surely, 2^501164160 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 501164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932688000).

501164160 is an abundant number, since it is smaller than the sum of its proper divisors (1364211840).

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

501164160 is an equidigital number, since it uses as much as digits as its factorization.

501164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 501164160 is about 22386.6960492164. The cubic root of 501164160 is about 794.3160447923.

The spelling of 501164160 in words is "five hundred one million, one hundred sixty-four thousand, one hundred sixty".