412666200 has 144 divisors (see below), whose sum is σ = 1405825200. Its totient is φ = 108460800.

The previous prime is 412666193. The next prime is 412666213. The reversal of 412666200 is 2666214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126186 + ... + 129414.

It is an arithmetic number, because the mean of its divisors is an integer number (9762675).

Almost surely, 2^412666200 is an apocalyptic number.

412666200 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 412666200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702912600).

412666200 is an abundant number, since it is smaller than the sum of its proper divisors (993159000).

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

412666200 is a wasteful number, since it uses less digits than its factorization.

412666200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412666200 is about 20314.1871607013. The cubic root of 412666200 is about 744.5027386015.

The spelling of 412666200 in words is "four hundred twelve million, six hundred sixty-six thousand, two hundred".