511488416 has 48 divisors (see below), whose sum is σ = 1030637160. Its totient is φ = 249799680.

The previous prime is 511488409. The next prime is 511488427. The reversal of 511488416 is 614884115.

It can be written as a sum of positive squares in 4 ways, for example, as 256128016 + 255360400 = 16004^2 + 15980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 511488416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305630 + ... + 307298.

Almost surely, 2^511488416 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 511488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515318580).

511488416 is an abundant number, since it is smaller than the sum of its proper divisors (519148744).

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

511488416 is a wasteful number, since it uses less digits than its factorization.

511488416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its digits is 30720, while the sum is 38.

The square root of 511488416 is about 22616.1096566142. The cubic root of 511488416 is about 799.7334612062.

The spelling of 511488416 in words is "five hundred eleven million, four hundred eighty-eight thousand, four hundred sixteen".