511379968 has 160 divisors (see below), whose sum is σ = 1202065920. Its totient is φ = 215040000.

The previous prime is 511379917. The next prime is 511379969. The reversal of 511379968 is 869973115.

It is not an unprimeable number, because it can be changed into a prime (511379969) 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, 5063118 + ... + 5063218.

It is an arithmetic number, because the mean of its divisors is an integer number (7512912).

Almost surely, 2^511379968 is an apocalyptic number.

511379968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601032960).

511379968 is an abundant number, since it is smaller than the sum of its proper divisors (690685952).

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

511379968 is a wasteful number, since it uses less digits than its factorization.

511379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its digits is 408240, while the sum is 49.

The square root of 511379968 is about 22613.7119465160. The cubic root of 511379968 is about 799.6769362215.

The spelling of 511379968 in words is "five hundred eleven million, three hundred seventy-nine thousand, nine hundred sixty-eight".