512032416 has 96 divisors (see below), whose sum is σ = 1540425600. Its totient is φ = 145883136.

The previous prime is 512032403. The next prime is 512032427. The reversal of 512032416 is 614230215.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300880 + ... + 302576.

It is an arithmetic number, because the mean of its divisors is an integer number (16046100).

Almost surely, 2^512032416 is an apocalyptic number.

512032416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770212800).

512032416 is an abundant number, since it is smaller than the sum of its proper divisors (1028393184).

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

512032416 is a wasteful number, since it uses less digits than its factorization.

512032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 512032416 is about 22628.1332858015. The cubic root of 512032416 is about 800.0168829770.

The spelling of 512032416 in words is "five hundred twelve million, thirty-two thousand, four hundred sixteen".