450976 has 24 divisors (see below), whose sum is σ = 941220. Its totient is φ = 211968.

The previous prime is 450971. The next prime is 450991. The reversal of 450976 is 679054.

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 15376 = 660^2 + 124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450971) 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, 130 + ... + 958.

2⁴⁵⁰⁹⁷⁶ 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 450976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470610).

450976 is an abundant number, since it is smaller than the sum of its proper divisors (490244).

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

450976 is a wasteful number, since it uses less digits than its factorization.

450976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 450976 is about 671.5474666768. The cubic root of 450976 is about 76.6863045682.

The spelling of 450976 in words is "four hundred fifty thousand, nine hundred seventy-six".