455668224 has 160 divisors (see below), whose sum is σ = 1340539200. Its totient is φ = 136396800.

The previous prime is 455668211. The next prime is 455668259. The reversal of 455668224 is 422866554.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2517414 + ... + 2517594.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^455668224 is an apocalyptic number.

455668224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

455668224 is an abundant number, since it is smaller than the sum of its proper divisors (884870976).

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

455668224 is a wasteful number, since it uses less digits than its factorization.

455668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 455668224 is about 21346.3866731585. The cubic root of 455668224 is about 769.5135084039.

The spelling of 455668224 in words is "four hundred fifty-five million, six hundred sixty-eight thousand, two hundred twenty-four".