511646940 has 144 divisors (see below), whose sum is σ = 1831065600. Its totient is φ = 113166720.

The previous prime is 511646939. The next prime is 511646959. The reversal of 511646940 is 49646115.

511646940 is a `hidden beast` number, since 5 + 1 + 1 + 646 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×511646940² = 523565182422727200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 511646895 and 511646904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32511 + ... + 45609.

Almost surely, 2^511646940 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 511646940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915532800).

511646940 is an abundant number, since it is smaller than the sum of its proper divisors (1319418660).

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

511646940 is a wasteful number, since it uses less digits than its factorization.

511646940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 511646940 is about 22619.6140550629. The cubic root of 511646940 is about 799.8160722998.

The spelling of 511646940 in words is "five hundred eleven million, six hundred forty-six thousand, nine hundred forty".