412862112 has 72 divisors (see below), whose sum is σ = 1264401684. Its totient is φ = 127033344.

The previous prime is 412862101. The next prime is 412862113. The reversal of 412862112 is 211268214.

412862112 is a `hidden beast` number, since 4 + 1 + 28 + 621 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 400160016 + 12702096 = 20004^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (412862113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51393 + ... + 58880.

Almost surely, 2^412862112 is an apocalyptic number.

It is an amenable number.

412862112 is an abundant number, since it is smaller than the sum of its proper divisors (851539572).

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

412862112 is a wasteful number, since it uses less digits than its factorization.

412862112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110302 (or 110291 counting only the distinct ones).

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

The square root of 412862112 is about 20319.0086372342. The cubic root of 412862112 is about 744.6205367516.

The spelling of 412862112 in words is "four hundred twelve million, eight hundred sixty-two thousand, one hundred twelve".