512408160 has 384 divisors, whose sum is σ = 2011806720. Its totient is φ = 120729600.

The previous prime is 512408137. The next prime is 512408179. The reversal of 512408160 is 61804215.

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

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, 1948189 + ... + 1948451.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^512408160 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 512408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005903360).

512408160 is an abundant number, since it is smaller than the sum of its proper divisors (1499398560).

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

512408160 is a wasteful number, since it uses less digits than its factorization.

512408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 512408160 is about 22636.4343481919. The cubic root of 512408160 is about 800.2125268687.

The spelling of 512408160 in words is "five hundred twelve million, four hundred eight thousand, one hundred sixty".