456938112 has 64 divisors (see below), whose sum is σ = 1243388160. Its totient is φ = 148592640.

The previous prime is 456938099. The next prime is 456938117. The reversal of 456938112 is 211839654.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (456938117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233 + ... + 30255.

It is an arithmetic number, because the mean of its divisors is an integer number (19427940).

Almost surely, 2^456938112 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 456938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621694080).

456938112 is an abundant number, since it is smaller than the sum of its proper divisors (786450048).

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

456938112 is a wasteful number, since it uses less digits than its factorization.

456938112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29081 (or 29069 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 456938112 is about 21376.1107781561. The cubic root of 456938112 is about 770.2276900160.

The spelling of 456938112 in words is "four hundred fifty-six million, nine hundred thirty-eight thousand, one hundred twelve".