412041200 has 120 divisors (see below), whose sum is σ = 1020628128. Its totient is φ = 159805440.

The previous prime is 412041197. The next prime is 412041209. The reversal of 412041200 is 2140214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412041209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3007532 + ... + 3007668.

Almost surely, 2^412041200 is an apocalyptic number.

412041200 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 412041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510314064).

412041200 is an abundant number, since it is smaller than the sum of its proper divisors (608586928).

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

412041200 is a wasteful number, since it uses less digits than its factorization.

412041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 412041200 is about 20298.7979939700. The cubic root of 412041200 is about 744.1266886432.

Adding to 412041200 its reverse (2140214), we get a palindrome (414181414).

The spelling of 412041200 in words is "four hundred twelve million, forty-one thousand, two hundred".