450576 has 80 divisors (see below), whose sum is σ = 1488000. Its totient is φ = 127872.

The previous prime is 450563. The next prime is 450581. The reversal of 450576 is 675054.

450576 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950 + ... + 3098.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2⁴⁵⁰⁵⁷⁶ is an apocalyptic number.

450576 is the 336-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744000).

450576 is an abundant number, since it is smaller than the sum of its proper divisors (1037424).

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

450576 is a wasteful number, since it uses less digits than its factorization.

450576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 450576 is about 671.2495810055. The cubic root of 450576 is about 76.6636251681.

The spelling of 450576 in words is "four hundred fifty thousand, five hundred seventy-six".