512450000 has 120 divisors (see below), whose sum is σ = 1279152504. Its totient is φ = 198720000.

The previous prime is 512449997. The next prime is 512450009. The reversal of 512450000 is 54215.

It can be written as a sum of positive squares in 12 ways, for example, as 508592704 + 3857296 = 22552^2 + 1964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512450009) 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, 1849862 + ... + 1850138.

Almost surely, 2^512450000 is an apocalyptic number.

512450000 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 512450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639576252).

512450000 is an abundant number, since it is smaller than the sum of its proper divisors (766702504).

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

512450000 is an equidigital number, since it uses as much as digits as its factorization.

512450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 512450000 is about 22637.3585031470. The cubic root of 512450000 is about 800.2343063690.

The spelling of 512450000 in words is "five hundred twelve million, four hundred fifty thousand".