459954 has 48 divisors (see below), whose sum is σ = 1145664. Its totient is φ = 132000.

The previous prime is 459937. The next prime is 459961.

459954 is nontrivially palindromic in base 10.

459954 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (23868).

2⁴⁵⁹⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572832).

459954 is an abundant number, since it is smaller than the sum of its proper divisors (685710).

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

459954 is a wasteful number, since it uses less digits than its factorization.

459954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 459954 is about 678.1990858148. The cubic root of 459954 is about 77.1918530603.

It can be divided in two parts, 45 and 9954, that added together give a palindrome (9999).

The spelling of 459954 in words is "four hundred fifty-nine thousand, nine hundred fifty-four".