456026112 has 120 divisors (see below), whose sum is σ = 1362611250. Its totient is φ = 151953408.

The previous prime is 456026107. The next prime is 456026119. The reversal of 456026112 is 211620654.

456026112 is a `hidden beast` number, since 45 + 6 + 0 + 2 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 442008576 + 14017536 = 21024^2 + 3744^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (456026119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164514 + ... + 167262.

Almost surely, 2^456026112 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 456026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681305625).

456026112 is an abundant number, since it is smaller than the sum of its proper divisors (906585138).

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

456026112 is an equidigital number, since it uses as much as digits as its factorization.

456026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2754 counting only the distinct ones).

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

The square root of 456026112 is about 21354.7678985280. The cubic root of 456026112 is about 769.7149177968.

Adding to 456026112 its reverse (211620654), we get a palindrome (667646766).

The spelling of 456026112 in words is "four hundred fifty-six million, twenty-six thousand, one hundred twelve".