450856 has 32 divisors (see below), whose sum is σ = 987840. Its totient is φ = 188928.

The previous prime is 450847. The next prime is 450859. The reversal of 450856 is 658054.

It is a super-2 number, since 2×450856² = 406542265472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (450859) by changing a digit.

450856 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 7 ways as a sum of consecutive naturals, for example, 4600 + ... + 4696.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2⁴⁵⁰⁸⁵⁶ is an apocalyptic number.

450856 is the 388-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

450856 is an abundant number, since it is smaller than the sum of its proper divisors (536984).

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

450856 is a wasteful number, since it uses less digits than its factorization.

450856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 450856 is about 671.4581148516. The cubic root of 450856 is about 76.6795021568.

The spelling of 450856 in words is "four hundred fifty thousand, eight hundred fifty-six".