511663416 has 128 divisors (see below), whose sum is σ = 1488326400. Its totient is φ = 144865280.

The previous prime is 511663409. The next prime is 511663421. The reversal of 511663416 is 614366115.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 776095 + ... + 776753.

It is an arithmetic number, because the mean of its divisors is an integer number (11627550).

Almost surely, 2^511663416 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 511663416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744163200).

511663416 is an abundant number, since it is smaller than the sum of its proper divisors (976662984).

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

511663416 is a wasteful number, since it uses less digits than its factorization.

511663416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 511663416 is about 22619.9782493264. The cubic root of 511663416 is about 799.8246574049.

The spelling of 511663416 in words is "five hundred eleven million, six hundred sixty-three thousand, four hundred sixteen".