511483456 has 63 divisors (see below), whose sum is σ = 1119991537. Its totient is φ = 231587840.

The previous prime is 511483417. The next prime is 511483457. The reversal of 511483456 is 654384115.

It is a happy number.

The square root of 511483456 is 22616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 503553600 + 7929856 = 22440^2 + 2816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (511483457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1990080 + ... + 1990336.

Almost surely, 2^511483456 is an apocalyptic number.

511483456 is the 22616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511483456

511483456 is an abundant number, since it is smaller than the sum of its proper divisors (608508081).

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

511483456 is an equidigital number, since it uses as much as digits as its factorization.

511483456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 270 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The cubic root of 511483456 is about 799.7308761423.

Multiplying 511483456 by its product of digits (57600), we get a square (29461447065600 = 5427840²).

The spelling of 511483456 in words is "five hundred eleven million, four hundred eighty-three thousand, four hundred fifty-six".