255344000 has 64 divisors (see below), whose sum is σ = 634888800. Its totient is φ = 102131200.

The previous prime is 255343981. The next prime is 255344003. The reversal of 255344000 is 443552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8021 + ... + 23979.

Almost surely, 2^255344000 is an apocalyptic number.

255344000 is a gapful number since it is divisible by the number (20) 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 255344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317444400).

255344000 is an abundant number, since it is smaller than the sum of its proper divisors (379544800).

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

255344000 is an equidigital number, since it uses as much as digits as its factorization.

255344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15988 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 255344000 is about 15979.4868503341. The cubic root of 255344000 is about 634.4175948330.

Adding to 255344000 its reverse (443552), we get a palindrome (255787552).

The spelling of 255344000 in words is "two hundred fifty-five million, three hundred forty-four thousand".