255763200 has 432 divisors, whose sum is σ = 1058432256. Its totient is φ = 52838400.

The previous prime is 255763163. The next prime is 255763201. The reversal of 255763200 is 2367552.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255763201) 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 47 ways as a sum of consecutive naturals, for example, 1478314 + ... + 1478486.

Almost surely, 2^255763200 is an apocalyptic number.

255763200 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 255763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529216128).

255763200 is an abundant number, since it is smaller than the sum of its proper divisors (802669056).

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

255763200 is a wasteful number, since it uses less digits than its factorization.

255763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 255763200 is about 15992.5982879581. The cubic root of 255763200 is about 634.7645809278.

The spelling of 255763200 in words is "two hundred fifty-five million, seven hundred sixty-three thousand, two hundred".