255552000 has 320 divisors, whose sum is σ = 934547328. Its totient is φ = 61952000.

The previous prime is 255551999. The next prime is 255552001. The reversal of 255552000 is 255552.

It is an interprime number because it is at equal distance from previous prime (255551999) and next prime (255552001).

It is a tau number, because it is divible by the number of its divisors (320).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=440.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255552001) 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 31 ways as a sum of consecutive naturals, for example, 23231995 + ... + 23232005.

Almost surely, 2^255552000 is an apocalyptic number.

255552000 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 255552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467273664).

255552000 is an abundant number, since it is smaller than the sum of its proper divisors (678995328).

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

255552000 is an frugal number, since it uses more digits than its factorization.

255552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 255552000 is about 15985.9938696348. The cubic root of 255552000 is about 634.5898109353.

255552000 divided by its sum of digits (24) gives a cube (10648000 = 220³).

255552000 divided by its reverse (255552) gives a cube (1000 = 10³).

It can be divided in two parts, 255 and 552000, that added together give a palindrome (552255).

The spelling of 255552000 in words is "two hundred fifty-five million, five hundred fifty-two thousand".