412125200 has 120 divisors (see below), whose sum is σ = 1051257120. Its totient is φ = 154828800.

The previous prime is 412125199. The next prime is 412125221. The reversal of 412125200 is 2521214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603472 + ... + 1603728.

It is an arithmetic number, because the mean of its divisors is an integer number (8760476).

Almost surely, 2^412125200 is an apocalyptic number.

412125200 is a gapful number since it is divisible by the number (40) 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 412125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525628560).

412125200 is an abundant number, since it is smaller than the sum of its proper divisors (639131920).

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

412125200 is a wasteful number, since it uses less digits than its factorization.

412125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 412125200 is about 20300.8669765604. The cubic root of 412125200 is about 744.1772518674.

Adding to 412125200 its reverse (2521214), we get a palindrome (414646414).

The spelling of 412125200 in words is "four hundred twelve million, one hundred twenty-five thousand, two hundred".