412234200 has 144 divisors (see below), whose sum is σ = 1582242480. Its totient is φ = 94222080.

The previous prime is 412234181. The next prime is 412234201. The reversal of 412234200 is 2432214.

412234200 is a `hidden beast` number, since 412 + 234 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412234201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3759 + ... + 28958.

It is an arithmetic number, because the mean of its divisors is an integer number (10987795).

Almost surely, 2^412234200 is an apocalyptic number.

412234200 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 412234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791121240).

412234200 is an abundant number, since it is smaller than the sum of its proper divisors (1170008280).

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

412234200 is a wasteful number, since it uses less digits than its factorization.

412234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32746 (or 32734 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412234200 is about 20303.5514134843. The cubic root of 412234200 is about 744.2428534291.

Adding to 412234200 its reverse (2432214), we get a palindrome (414666414).

The spelling of 412234200 in words is "four hundred twelve million, two hundred thirty-four thousand, two hundred".