450456 has 24 divisors (see below), whose sum is σ = 1134420. Its totient is φ = 149056.

The previous prime is 450451. The next prime is 450473. The reversal of 450456 is 654054.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 450456.

It is not an unprimeable number, because it can be changed into a prime (450451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3220 + ... + 3356.

2⁴⁵⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

450456 is an abundant number, since it is smaller than the sum of its proper divisors (683964).

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

450456 is a wasteful number, since it uses less digits than its factorization.

450456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450456 is about 671.1601895226. The cubic root of 450456 is about 76.6568187309.

Multiplying 450456 by its sum of digits (24), we get a square (10810944 = 3288²).

450456 divided by its sum of digits (24) gives a square (18769 = 137²).

Multiplying 450456 by its product of nonzero digits (2400), we get a square (1081094400 = 32880²).

It can be divided in two parts, 4504 and 56, that added together give a triangular number (4560 = T₉₅).

The spelling of 450456 in words is "four hundred fifty thousand, four hundred fifty-six".