512044416 has 320 divisors, whose sum is σ = 1710601200. Its totient is φ = 150958080.

The previous prime is 512044409. The next prime is 512044427. The reversal of 512044416 is 614440215.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 512044416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3908671 + ... + 3908801.

Almost surely, 2^512044416 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 512044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855300600).

512044416 is an abundant number, since it is smaller than the sum of its proper divisors (1198556784).

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

512044416 is a wasteful number, since it uses less digits than its factorization.

512044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 512044416 is about 22628.3984408972. The cubic root of 512044416 is about 800.0231326644.

The spelling of 512044416 in words is "five hundred twelve million, forty-four thousand, four hundred sixteen".