255006400 has 84 divisors (see below), whose sum is σ = 684565560. Its totient is φ = 92723200.

The previous prime is 255006377. The next prime is 255006431. The reversal of 255006400 is 4600552.

255006400 is digitally balanced in base 3, 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 (22).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10356 + ... + 24844.

It is an arithmetic number, because the mean of its divisors is an integer number (8149590).

Almost surely, 2^255006400 is an apocalyptic number.

255006400 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 255006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342282780).

255006400 is an abundant number, since it is smaller than the sum of its proper divisors (429559160).

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

255006400 is a wasteful number, since it uses less digits than its factorization.

255006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 255006400 is about 15968.9198131871. The cubic root of 255006400 is about 634.1378756555.

Adding to 255006400 its reverse (4600552), we get a palindrome (259606952).

The spelling of 255006400 in words is "two hundred fifty-five million, six thousand, four hundred".