450668448 has 120 divisors (see below), whose sum is σ = 1395313920. Its totient is φ = 142300800.

The previous prime is 450668447. The next prime is 450668501. The reversal of 450668448 is 844866054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450668447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44673 + ... + 53823.

It is an arithmetic number, because the mean of its divisors is an integer number (11627616).

Almost surely, 2^450668448 is an apocalyptic number.

450668448 is a gapful number since it is divisible by the number (48) 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 450668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697656960).

450668448 is an abundant number, since it is smaller than the sum of its proper divisors (944645472).

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

450668448 is a wasteful number, since it uses less digits than its factorization.

450668448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 450668448 is about 21228.9530594422. The cubic root of 450668448 is about 766.6886802333.

The spelling of 450668448 in words is "four hundred fifty million, six hundred sixty-eight thousand, four hundred forty-eight".