456224146 has 32 divisors (see below), whose sum is σ = 794862720. Its totient is φ = 192356736.

The previous prime is 456224101. The next prime is 456224177. The reversal of 456224146 is 641422654.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282036 + ... + 283648.

It is an arithmetic number, because the mean of its divisors is an integer number (24839460).

Almost surely, 2^456224146 is an apocalyptic number.

456224146 is a deficient number, since it is larger than the sum of its proper divisors (338638574).

456224146 is a wasteful number, since it uses less digits than its factorization.

456224146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938.

The product of its digits is 46080, while the sum is 34.

The square root of 456224146 is about 21359.4041583561. The cubic root of 456224146 is about 769.8263205291.

The spelling of 456224146 in words is "four hundred fifty-six million, two hundred twenty-four thousand, one hundred forty-six".