511380464 has 120 divisors (see below), whose sum is σ = 1215243648. Its totient is φ = 207567360.

The previous prime is 511380431. The next prime is 511380481. The reversal of 511380464 is 464083115.

It is a self number, because there is not a number n which added to its sum of digits gives 511380464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287914 + ... + 1288310.

Almost surely, 2^511380464 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 511380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607621824).

511380464 is an abundant number, since it is smaller than the sum of its proper divisors (703863184).

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

511380464 is a wasteful number, since it uses less digits than its factorization.

511380464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 511380464 is about 22613.7229133108. The cubic root of 511380464 is about 799.6771947635.

The spelling of 511380464 in words is "five hundred eleven million, three hundred eighty thousand, four hundred sixty-four".