450881328 has 80 divisors (see below), whose sum is σ = 1257419520. Its totient is φ = 138792192.

The previous prime is 450881303. The next prime is 450881339. The reversal of 450881328 is 823188054.

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, 24975 + ... + 39057.

It is an arithmetic number, because the mean of its divisors is an integer number (15717744).

Almost surely, 2^450881328 is an apocalyptic number.

450881328 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 450881328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628709760).

450881328 is an abundant number, since it is smaller than the sum of its proper divisors (806538192).

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

450881328 is a wasteful number, since it uses less digits than its factorization.

450881328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 450881328 is about 21233.9663746555. The cubic root of 450881328 is about 766.8093801958.

The spelling of 450881328 in words is "four hundred fifty million, eight hundred eighty-one thousand, three hundred twenty-eight".