418712112 has 160 divisors (see below), whose sum is σ = 1479349760. Its totient is φ = 110419200.

The previous prime is 418711961. The next prime is 418712117. The reversal of 418712112 is 211217814.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (418712117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33987 + ... + 44637.

It is an arithmetic number, because the mean of its divisors is an integer number (9245936).

Almost surely, 2^418712112 is an apocalyptic number.

418712112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418712112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739674880).

418712112 is an abundant number, since it is smaller than the sum of its proper divisors (1060637648).

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

418712112 is a wasteful number, since it uses less digits than its factorization.

418712112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10688 (or 10676 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 418712112 is about 20462.4561575584. The cubic root of 418712112 is about 748.1209923718.

Adding to 418712112 its reverse (211217814), we get a palindrome (629929926).

The spelling of 418712112 in words is "four hundred eighteen million, seven hundred twelve thousand, one hundred twelve".