413546112 has 96 divisors (see below), whose sum is σ = 1360051680. Its totient is φ = 118153728.

The previous prime is 413546083. The next prime is 413546113. The reversal of 413546112 is 211645314.

It is a happy number.

413546112 is a `hidden beast` number, since 4 + 1 + 3 + 546 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (413546113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17578 + ... + 33705.

It is an arithmetic number, because the mean of its divisors is an integer number (14167205).

Almost surely, 2^413546112 is an apocalyptic number.

413546112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413546112 is an abundant number, since it is smaller than the sum of its proper divisors (946505568).

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

413546112 is a wasteful number, since it uses less digits than its factorization.

413546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51310 (or 51295 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413546112 is about 20335.8332015189. The cubic root of 413546112 is about 745.0315209701.

The spelling of 413546112 in words is "four hundred thirteen million, five hundred forty-six thousand, one hundred twelve".