255168900 has 288 divisors, whose sum is σ = 979937280. Its totient is φ = 55693440.

The previous prime is 255168889. The next prime is 255168911. The reversal of 255168900 is 9861552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (255168889) and next prime (255168911).

It is a super-2 number, since 2×255168900² = 130222335054420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 434407 + ... + 434993.

It is an arithmetic number, because the mean of its divisors is an integer number (3402560).

Almost surely, 2^255168900 is an apocalyptic number.

255168900 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 255168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489968640).

255168900 is an abundant number, since it is smaller than the sum of its proper divisors (724768380).

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

255168900 is a wasteful number, since it uses less digits than its factorization.

255168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 255168900 is about 15974.0070113920. The cubic root of 255168900 is about 634.2725461630.

The spelling of 255168900 in words is "two hundred fifty-five million, one hundred sixty-eight thousand, nine hundred".