512384148 has 72 divisors (see below), whose sum is σ = 1384142760. Its totient is φ = 159252480.

The previous prime is 512384141. The next prime is 512384161. The reversal of 512384148 is 841483215.

512384148 is a `hidden beast` number, since 5 + 1 + 238 + 414 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235561104 + 276823044 = 15348^2 + 16638^2 .

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 (512384141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62868 + ... + 70548.

It is an arithmetic number, because the mean of its divisors is an integer number (19224205).

Almost surely, 2^512384148 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 512384148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692071380).

512384148 is an abundant number, since it is smaller than the sum of its proper divisors (871758612).

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

512384148 is a wasteful number, since it uses less digits than its factorization.

512384148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7812 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 512384148 is about 22635.9039580928. The cubic root of 512384148 is about 800.2000270656.

The spelling of 512384148 in words is "five hundred twelve million, three hundred eighty-four thousand, one hundred forty-eight".