412900 has 18 divisors (see below), whose sum is σ = 896210. Its totient is φ = 165120.

The previous prime is 412891. The next prime is 412901. The reversal of 412900 is 9214.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 381924 = 176^2 + 618^2 .

It is not an unprimeable number, because it can be changed into a prime (412901) by changing a digit.

412900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1965 + ... + 2164.

2⁴¹²⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

412900 is an abundant number, since it is smaller than the sum of its proper divisors (483310).

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

412900 is a wasteful number, since it uses less digits than its factorization.

412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 412900 is about 642.5729530567. The cubic root of 412900 is about 74.4643313783.

The spelling of 412900 in words is "four hundred twelve thousand, nine hundred".