254664 has 48 divisors (see below), whose sum is σ = 720720. Its totient is φ = 84240.

The previous prime is 254663. The next prime is 254699. The reversal of 254664 is 466452.

It is a happy number.

254664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (254663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2²⁵⁴⁶⁶⁴ is an apocalyptic number.

254664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

254664 is an abundant number, since it is smaller than the sum of its proper divisors (466056).

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

254664 is a wasteful number, since it uses less digits than its factorization.

254664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 254664 is about 504.6424476795. The cubic root of 254664 is about 63.3853927146.

The spelling of 254664 in words is "two hundred fifty-four thousand, six hundred sixty-four".