512904960 has 432 divisors, whose sum is σ = 1968666336. Its totient is φ = 127401984.

The previous prime is 512904913. The next prime is 512904961. The reversal of 512904960 is 69409215.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512904961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287632 + ... + 5287728.

It is an arithmetic number, because the mean of its divisors is an integer number (4557098).

Almost surely, 2^512904960 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 512904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984333168).

512904960 is an abundant number, since it is smaller than the sum of its proper divisors (1455761376).

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

512904960 is an equidigital number, since it uses as much as digits as its factorization.

512904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 512904960 is about 22647.4051493764. The cubic root of 512904960 is about 800.4710559118.

The spelling of 512904960 in words is "five hundred twelve million, nine hundred four thousand, nine hundred sixty".