456314112 has 216 divisors, whose sum is σ = 1403001600. Its totient is φ = 142331904.

The previous prime is 456314107. The next prime is 456314123. The reversal of 456314112 is 211413654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4186314 + ... + 4186422.

Almost surely, 2^456314112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701500800).

456314112 is an abundant number, since it is smaller than the sum of its proper divisors (946687488).

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

456314112 is a wasteful number, since it uses less digits than its factorization.

456314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

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

The square root of 456314112 is about 21361.5100589823. The cubic root of 456314112 is about 769.8769196650.

Adding to 456314112 its reverse (211413654), we get a palindrome (667727766).

The spelling of 456314112 in words is "four hundred fifty-six million, three hundred fourteen thousand, one hundred twelve".