456042112 has 32 divisors (see below), whose sum is σ = 911185380. Its totient is φ = 227352576.

The previous prime is 456042101. The next prime is 456042143. The reversal of 456042112 is 211240654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 455224896 + 817216 = 21336^2 + 904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40138 + ... + 50230.

Almost surely, 2^456042112 is an apocalyptic number.

It is an amenable number.

456042112 is a deficient number, since it is larger than the sum of its proper divisors (455143268).

456042112 is a wasteful number, since it uses less digits than its factorization.

456042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 456042112 is about 21355.1425188407. The cubic root of 456042112 is about 769.7239196897.

Adding to 456042112 its reverse (211240654), we get a palindrome (667282766).

The spelling of 456042112 in words is "four hundred fifty-six million, forty-two thousand, one hundred twelve".