456782112 has 192 divisors, whose sum is σ = 1427207040. Its totient is φ = 141631488.

The previous prime is 456782089. The next prime is 456782113. The reversal of 456782112 is 211287654.

456782112 is a `hidden beast` number, since 4 + 567 + 82 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456782113) 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, 2012143 + ... + 2012369.

It is an arithmetic number, because the mean of its divisors is an integer number (7433370).

Almost surely, 2^456782112 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 456782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713603520).

456782112 is an abundant number, since it is smaller than the sum of its proper divisors (970424928).

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

456782112 is a wasteful number, since it uses less digits than its factorization.

456782112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 456782112 is about 21372.4615334781. The cubic root of 456782112 is about 770.1400273815.

The spelling of 456782112 in words is "four hundred fifty-six million, seven hundred eighty-two thousand, one hundred twelve".