450000768 has 128 divisors (see below), whose sum is σ = 1383217920. Its totient is φ = 126959616.

The previous prime is 450000767. The next prime is 450000781. The reversal of 450000768 is 867000054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450000767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222096 + ... + 224112.

It is an arithmetic number, because the mean of its divisors is an integer number (10806390).

Almost surely, 2^450000768 is an apocalyptic number.

450000768 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 450000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691608960).

450000768 is an abundant number, since it is smaller than the sum of its proper divisors (933217152).

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

450000768 is a wasteful number, since it uses less digits than its factorization.

450000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 450000768 is about 21213.2215375223. The cubic root of 450000768 is about 766.3098683382.

The spelling of 450000768 in words is "four hundred fifty million, seven hundred sixty-eight", and thus it is an aban number.