450648 has 48 divisors (see below), whose sum is σ = 1333800. Its totient is φ = 136320.

The previous prime is 450643. The next prime is 450649. The reversal of 450648 is 846054.

450648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450648.

It is not an unprimeable number, because it can be changed into a prime (450641) by changing a digit.

450648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508 + ... + 1076.

2⁴⁵⁰⁶⁴⁸ 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 450648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666900).

450648 is an abundant number, since it is smaller than the sum of its proper divisors (883152).

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

450648 is a wasteful number, since it uses less digits than its factorization.

450648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450648 is about 671.3032101815. The cubic root of 450648 is about 76.6677084505.

It can be divided in two parts, 4506 and 48, that added together give a palindrome (4554).

The spelling of 450648 in words is "four hundred fifty thousand, six hundred forty-eight".