512166480 has 320 divisors, whose sum is σ = 1954160640. Its totient is φ = 108306432.

The previous prime is 512166443. The next prime is 512166503. The reversal of 512166480 is 84661215.

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, 2256127 + ... + 2256353.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2^512166480 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 512166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977080320).

512166480 is an abundant number, since it is smaller than the sum of its proper divisors (1441994160).

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

512166480 is a wasteful number, since it uses less digits than its factorization.

512166480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 512166480 is about 22631.0954220073. The cubic root of 512166480 is about 800.0866989371.

The spelling of 512166480 in words is "five hundred twelve million, one hundred sixty-six thousand, four hundred eighty".