416426112 has 48 divisors (see below), whose sum is σ = 1198312830. Its totient is φ = 138808320.

The previous prime is 416426111. The next prime is 416426117. The reversal of 416426112 is 211624614.

416426112 is a `hidden beast` number, since 4 + 1 + 6 + 42 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395850816 + 20575296 = 19896^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (416426111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179589 + ... + 181892.

Almost surely, 2^416426112 is an apocalyptic number.

It is an amenable number.

416426112 is an abundant number, since it is smaller than the sum of its proper divisors (781886718).

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

416426112 is a wasteful number, since it uses less digits than its factorization.

416426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361501 (or 361486 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 416426112 is about 20406.5213106007. The cubic root of 416426112 is about 746.7570270462.

It can be divided in two parts, 4164 and 26112, that added together give a square (30276 = 174²).

The spelling of 416426112 in words is "four hundred sixteen million, four hundred twenty-six thousand, one hundred twelve".