256003300 has 72 divisors (see below), whose sum is σ = 656832960. Its totient is φ = 84739200.

The previous prime is 256003277. The next prime is 256003337. The reversal of 256003300 is 3300652.

It is a super-3 number, since 3×256003300³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 13995 + ... + 26605.

It is an arithmetic number, because the mean of its divisors is an integer number (9122680).

Almost surely, 2^256003300 is an apocalyptic number.

256003300 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 256003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328416480).

256003300 is an abundant number, since it is smaller than the sum of its proper divisors (400829660).

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

256003300 is a wasteful number, since it uses less digits than its factorization.

256003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 256003300 is about 16000.1031246677. The cubic root of 256003300 is about 634.9631491211.

Adding to 256003300 its reverse (3300652), we get a palindrome (259303952).

It can be divided in two parts, 25600 and 3300, that added together give a square (28900 = 170²).

The spelling of 256003300 in words is "two hundred fifty-six million, three thousand, three hundred".