450256928 has 48 divisors (see below), whose sum is σ = 977072544. Its totient is φ = 202536960.

The previous prime is 450256897. The next prime is 450256931. The reversal of 450256928 is 829652054.

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 7 ways as a sum of consecutive naturals, for example, 27551 + ... + 40737.

It is an arithmetic number, because the mean of its divisors is an integer number (20355678).

Almost surely, 2^450256928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450256928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488536272).

450256928 is an abundant number, since it is smaller than the sum of its proper divisors (526815616).

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

450256928 is a wasteful number, since it uses less digits than its factorization.

450256928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 450256928 is about 21219.2584224803. The cubic root of 450256928 is about 766.4552463868.

The spelling of 450256928 in words is "four hundred fifty million, two hundred fifty-six thousand, nine hundred twenty-eight".