512411400 has 192 divisors, whose sum is σ = 1822502400. Its totient is φ = 132192000.

The previous prime is 512411387. The next prime is 512411429. The reversal of 512411400 is 4114215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165870 + ... + 168930.

It is an arithmetic number, because the mean of its divisors is an integer number (9492200).

Almost surely, 2^512411400 is an apocalyptic number.

512411400 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 512411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911251200).

512411400 is an abundant number, since it is smaller than the sum of its proper divisors (1310091000).

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

512411400 is a wasteful number, since it uses less digits than its factorization.

512411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 512411400 is about 22636.5059141202. The cubic root of 512411400 is about 800.2142134690.

Adding to 512411400 its reverse (4114215), we get a palindrome (516525615).

The spelling of 512411400 in words is "five hundred twelve million, four hundred eleven thousand, four hundred".