512960448 has 448 divisors, whose sum is σ = 1941746688. Its totient is φ = 115015680.

The previous prime is 512960369. The next prime is 512960477. The reversal of 512960448 is 844069215.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3267186 + ... + 3267342.

It is an arithmetic number, because the mean of its divisors is an integer number (4334256).

Almost surely, 2^512960448 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 512960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970873344).

512960448 is an abundant number, since it is smaller than the sum of its proper divisors (1428786240).

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

512960448 is a wasteful number, since it uses less digits than its factorization.

512960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 512960448 is about 22648.6301572523. The cubic root of 512960448 is about 800.4999208672.

The spelling of 512960448 in words is "five hundred twelve million, nine hundred sixty thousand, four hundred forty-eight".