412200000 has 252 divisors, whose sum is σ = 1483225380. Its totient is φ = 109440000.

The previous prime is 412199941. The next prime is 412200023. The reversal of 412200000 is 2214.

It can be written as a sum of positive squares in 6 ways, for example, as 244859904 + 167340096 = 15648^2 + 12936^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1799886 + ... + 1800114.

It is an arithmetic number, because the mean of its divisors is an integer number (5885815).

Almost surely, 2^412200000 is an apocalyptic number.

412200000 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 412200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741612690).

412200000 is an abundant number, since it is smaller than the sum of its proper divisors (1071025380).

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

412200000 is an equidigital number, since it uses as much as digits as its factorization.

412200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 412200000 is about 20302.7091788264. The cubic root of 412200000 is about 744.2222714319. Note that the first 4 decimals are identical.

Adding to 412200000 its reverse (2214), we get a palindrome (412202214).

The spelling of 412200000 in words is "four hundred twelve million, two hundred thousand".