256623300 has 108 divisors (see below), whose sum is σ = 807539460. Its totient is φ = 68163840.

The previous prime is 256623299. The next prime is 256623371. The reversal of 256623300 is 3326652.

256623300 is a `hidden beast` number, since 2 + 5 + 6 + 623 + 30 + 0 = 666.

256623300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 256256064 = 606^2 + 16008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349734 + ... + 350466.

Almost surely, 2^256623300 is an apocalyptic number.

256623300 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 256623300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403769730).

256623300 is an abundant number, since it is smaller than the sum of its proper divisors (550916160).

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

256623300 is a wasteful number, since it uses less digits than its factorization.

256623300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 256623300 is about 16019.4662832443. The cubic root of 256623300 is about 635.4753297208.

Adding to 256623300 its reverse (3326652), we get a palindrome (259949952).

The spelling of 256623300 in words is "two hundred fifty-six million, six hundred twenty-three thousand, three hundred".