500160672 has 288 divisors, whose sum is σ = 1694032704. Its totient is φ = 138240000.

The previous prime is 500160659. The next prime is 500160697. The reversal of 500160672 is 276061005.

500160672 is a `hidden beast` number, since 50 + 0 + 1 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992547 + ... + 1992797.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2^500160672 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 500160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847016352).

500160672 is an abundant number, since it is smaller than the sum of its proper divisors (1193872032).

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

500160672 is a wasteful number, since it uses less digits than its factorization.

500160672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 500160672 is about 22364.2722215591. The cubic root of 500160672 is about 793.7855338464.

The spelling of 500160672 in words is "five hundred million, one hundred sixty thousand, six hundred seventy-two".