512411900 has 144 divisors (see below), whose sum is σ = 1493237760. Its totient is φ = 147398400.

The previous prime is 512411869. The next prime is 512411903. The reversal of 512411900 is 9114215.

It is a happy number.

It is a super-2 number, since 2×512411900² = 525131910523220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512411903) 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, 97541 + ... + 102659.

Almost surely, 2^512411900 is an apocalyptic number.

512411900 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 512411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746618880).

512411900 is an abundant number, since it is smaller than the sum of its proper divisors (980825860).

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

512411900 is a wasteful number, since it uses less digits than its factorization.

512411900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 512411900 is about 22636.5169582248. The cubic root of 512411900 is about 800.2144737461.

The spelling of 512411900 in words is "five hundred twelve million, four hundred eleven thousand, nine hundred".