407112 has 16 divisors (see below), whose sum is σ = 1017840. Its totient is φ = 135696.

The previous prime is 407083. The next prime is 407119. The reversal of 407112 is 211704.

It is a junction number, because it is equal to n+sod(n) for n = 407091 and 407100.

It is not an unprimeable number, because it can be changed into a prime (407119) by changing a digit.

407112 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 3 ways as a sum of consecutive naturals, for example, 8458 + ... + 8505.

It is an arithmetic number, because the mean of its divisors is an integer number (63615).

2⁴⁰⁷¹¹² is an apocalyptic number.

It is an amenable number.

407112 is an abundant number, since it is smaller than the sum of its proper divisors (610728).

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

407112 is a wasteful number, since it uses less digits than its factorization.

407112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16972 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 407112 is about 638.0532893105. The cubic root of 407112 is about 74.1147477116.

Adding to 407112 its reverse (211704), we get a palindrome (618816).

The spelling of 407112 in words is "four hundred seven thousand, one hundred twelve", and thus it is an iban number.