412628112 has 60 divisors (see below), whose sum is σ = 1243620924. Its totient is φ = 126961920.

The previous prime is 412628093. The next prime is 412628113. The reversal of 412628112 is 211826214.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 371872656 = 6384^2 + 19284^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412628113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108339 + ... + 112082.

Almost surely, 2^412628112 is an apocalyptic number.

It is an amenable number.

412628112 is an abundant number, since it is smaller than the sum of its proper divisors (830992812).

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

412628112 is a wasteful number, since it uses less digits than its factorization.

412628112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220448 (or 220439 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 412628112 is about 20313.2496661662. The cubic root of 412628112 is about 744.4798326849.

The spelling of 412628112 in words is "four hundred twelve million, six hundred twenty-eight thousand, one hundred twelve".