450368 has 28 divisors (see below), whose sum is σ = 926592. Its totient is φ = 216960.

The previous prime is 450367. The next prime is 450377. The reversal of 450368 is 863054.

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 450368.

It is not an unprimeable number, because it can be changed into a prime (450361) 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, 1871 + ... + 2097.

2⁴⁵⁰³⁶⁸ 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 450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296).

450368 is an abundant number, since it is smaller than the sum of its proper divisors (476224).

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

450368 is a wasteful number, since it uses less digits than its factorization.

450368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 450368 is about 671.0946282008. The cubic root of 450368 is about 76.6518265752.

Subtracting 450368 from its reverse (863054), we obtain a triangular number (412686 = T₉₀₈).

It can be divided in two parts, 450 and 368, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 450368 in words is "four hundred fifty thousand, three hundred sixty-eight".