512345000 has 80 divisors (see below), whose sum is σ = 1228856640. Its totient is φ = 200088000.

The previous prime is 512344999. The next prime is 512345021. The reversal of 512345000 is 543215.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213809 + ... + 216191.

It is an arithmetic number, because the mean of its divisors is an integer number (15360708).

Almost surely, 2^512345000 is an apocalyptic number.

512345000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614428320).

512345000 is an abundant number, since it is smaller than the sum of its proper divisors (716511640).

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

512345000 is a wasteful number, since it uses less digits than its factorization.

512345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 512345000 is about 22635.0392091553. The cubic root of 512345000 is about 800.1796471556.

Adding to 512345000 its reverse (543215), we get a palindrome (512888215).

The spelling of 512345000 in words is "five hundred twelve million, three hundred forty-five thousand".