501955968 has 128 divisors (see below), whose sum is σ = 1390464000. Its totient is φ = 160266240.

The previous prime is 501955931. The next prime is 501955969. The reversal of 501955968 is 869559105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501955969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773555 + ... + 1773837.

It is an arithmetic number, because the mean of its divisors is an integer number (10863000).

Almost surely, 2^501955968 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 501955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695232000).

501955968 is an abundant number, since it is smaller than the sum of its proper divisors (888508032).

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

501955968 is a wasteful number, since it uses less digits than its factorization.

501955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 48.

The square root of 501955968 is about 22404.3738586911. The cubic root of 501955968 is about 794.7341478862.

The spelling of 501955968 in words is "five hundred one million, nine hundred fifty-five thousand, nine hundred sixty-eight".