456273342 has 24 divisors (see below), whose sum is σ = 1129820016. Its totient is φ = 130363776.

The previous prime is 456273341. The next prime is 456273361. The reversal of 456273342 is 243372654.

456273342 is a `hidden beast` number, since 45 + 6 + 273 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456273297 and 456273306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456273341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1810483 + ... + 1810734.

It is an arithmetic number, because the mean of its divisors is an integer number (47075834).

Almost surely, 2^456273342 is an apocalyptic number.

456273342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

456273342 is an abundant number, since it is smaller than the sum of its proper divisors (673546674).

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

456273342 is a wasteful number, since it uses less digits than its factorization.

456273342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621232 (or 3621229 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 456273342 is about 21360.5557511971. Note that the first 3 decimals coincide. The cubic root of 456273342 is about 769.8539904181.

The spelling of 456273342 in words is "four hundred fifty-six million, two hundred seventy-three thousand, three hundred forty-two".