450768384 has 120 divisors (see below), whose sum is σ = 1419375672. Its totient is φ = 136581120.

The previous prime is 450768377. The next prime is 450768401. The reversal of 450768384 is 483867054.

450768384 is a `hidden beast` number, since 4 + 507 + 68 + 3 + 84 = 666.

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, 46242 + ... + 55134.

Almost surely, 2^450768384 is an apocalyptic number.

450768384 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 450768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709687836).

450768384 is an abundant number, since it is smaller than the sum of its proper divisors (968607288).

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

450768384 is a wasteful number, since it uses less digits than its factorization.

450768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 450768384 is about 21231.3066955381. The cubic root of 450768384 is about 766.7453472705.

The spelling of 450768384 in words is "four hundred fifty million, seven hundred sixty-eight thousand, three hundred eighty-four".