456450 has 48 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 113920.

The previous prime is 456439. The next prime is 456451. The reversal of 456450 is 54654.

456450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×456450³ = 285299420133375000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456450.

It is not an unprimeable number, because it can be changed into a prime (456451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2461 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁴⁵⁶⁴⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640).

456450 is an abundant number, since it is smaller than the sum of its proper divisors (748830).

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

456450 is a wasteful number, since it uses less digits than its factorization.

456450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 206 counting only the distinct ones).

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

The square root of 456450 is about 675.6108347266. The cubic root of 456450 is about 76.9953333878.

The spelling of 456450 in words is "four hundred fifty-six thousand, four hundred fifty".