450768 has 20 divisors (see below), whose sum is σ = 1164608. Its totient is φ = 150240.

The previous prime is 450767. The next prime is 450787. The reversal of 450768 is 867054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4648 + ... + 4743.

2⁴⁵⁰⁷⁶⁸ is an apocalyptic number.

450768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

450768 is an abundant number, since it is smaller than the sum of its proper divisors (713840).

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

450768 is a wasteful number, since it uses less digits than its factorization.

450768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9396 counting only the distinct ones).

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

The square root of 450768 is about 671.3925826221. The cubic root of 450768 is about 76.6745129546.

The spelling of 450768 in words is "four hundred fifty thousand, seven hundred sixty-eight".