512282880 has 324 divisors, whose sum is σ = 1870695372. Its totient is φ = 134369280.

The previous prime is 512282863. The next prime is 512282893. The reversal of 512282880 is 88282215.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 429981696 = 9072^2 + 20736^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8398050 + ... + 8398110.

Almost surely, 2^512282880 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 512282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935347686).

512282880 is an abundant number, since it is smaller than the sum of its proper divisors (1358412492).

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

512282880 is an frugal number, since it uses more digits than its factorization.

512282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 512282880 is about 22633.6669587586. Note that the first 3 decimals coincide. The cubic root of 512282880 is about 800.1473062078.

The spelling of 512282880 in words is "five hundred twelve million, two hundred eighty-two thousand, eight hundred eighty".