501960672 has 192 divisors, whose sum is σ = 1530144000. Its totient is φ = 159957504.

The previous prime is 501960653. The next prime is 501960673. The reversal of 501960672 is 276069105.

501960672 is a `hidden beast` number, since 501 + 96 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501960673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2191854 + ... + 2192082.

It is an arithmetic number, because the mean of its divisors is an integer number (7969500).

Almost surely, 2^501960672 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 501960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765072000).

501960672 is an abundant number, since it is smaller than the sum of its proper divisors (1028183328).

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

501960672 is a wasteful number, since it uses less digits than its factorization.

501960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 501960672 is about 22404.4788379467. The cubic root of 501960672 is about 794.7366304531.

The spelling of 501960672 in words is "five hundred one million, nine hundred sixty thousand, six hundred seventy-two".