450456768 has 224 divisors, whose sum is σ = 1399032000. Its totient is φ = 141926400.

The previous prime is 450456763. The next prime is 450456821. The reversal of 450456768 is 867654054.

It is a super-2 number, since 2×450456768² = 405822599674011648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450456763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4459918 + ... + 4460018.

Almost surely, 2^450456768 is an apocalyptic number.

450456768 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 450456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699516000).

450456768 is an abundant number, since it is smaller than the sum of its proper divisors (948575232).

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

450456768 is a wasteful number, since it uses less digits than its factorization.

450456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 450456768 is about 21223.9668299778. The cubic root of 450456768 is about 766.5686229591.

The spelling of 450456768 in words is "four hundred fifty million, four hundred fifty-six thousand, seven hundred sixty-eight".