511877940 has 96 divisors (see below), whose sum is σ = 1672925184. Its totient is φ = 114506880.

The previous prime is 511877897. The next prime is 511877953. The reversal of 511877940 is 49778115.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 511877892 and 511877901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6775 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (17426304).

Almost surely, 2^511877940 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 511877940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836462592).

511877940 is an abundant number, since it is smaller than the sum of its proper divisors (1161047244).

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

511877940 is a wasteful number, since it uses less digits than its factorization.

511877940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25997 (or 25995 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 511877940 is about 22624.7196667716. The cubic root of 511877940 is about 799.9364220308.

The spelling of 511877940 in words is "five hundred eleven million, eight hundred seventy-seven thousand, nine hundred forty".