512397760 has 224 divisors, whose sum is σ = 1479426048. Its totient is φ = 165335040.

The previous prime is 512397751. The next prime is 512397763. The reversal of 512397760 is 67793215.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512397763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3263602 + ... + 3263758.

Almost surely, 2^512397760 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 512397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739713024).

512397760 is an abundant number, since it is smaller than the sum of its proper divisors (967028288).

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

512397760 is a wasteful number, since it uses less digits than its factorization.

512397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 512397760 is about 22636.2046288683. The cubic root of 512397760 is about 800.2071130423.

The spelling of 512397760 in words is "five hundred twelve million, three hundred ninety-seven thousand, seven hundred sixty".