456282198 has 24 divisors (see below), whose sum is σ = 989188200. Its totient is φ = 152005344.

The previous prime is 456282163. The next prime is 456282217. The reversal of 456282198 is 891282654.

456282198 is a `hidden beast` number, since 4 + 5 + 628 + 2 + 19 + 8 = 666.

It is a super-2 number, since 2×456282198² = 416386888423422408, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 29218 + ... + 42026.

It is an arithmetic number, because the mean of its divisors is an integer number (41216175).

Almost surely, 2^456282198 is an apocalyptic number.

456282198 is an abundant number, since it is smaller than the sum of its proper divisors (532906002).

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

456282198 is a wasteful number, since it uses less digits than its factorization.

456282198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 14793 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 456282198 is about 21360.7630481685. The cubic root of 456282198 is about 769.8589711918.

The spelling of 456282198 in words is "four hundred fifty-six million, two hundred eighty-two thousand, one hundred ninety-eight".