255393600 has 336 divisors, whose sum is σ = 1046171136. Its totient is φ = 52992000.

The previous prime is 255393581. The next prime is 255393617. The reversal of 255393600 is 6393552.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369255 + ... + 369945.

Almost surely, 2^255393600 is an apocalyptic number.

255393600 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 255393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523085568).

255393600 is an abundant number, since it is smaller than the sum of its proper divisors (790777536).

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

255393600 is a wasteful number, since it uses less digits than its factorization.

255393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 255393600 is about 15981.0387647362. The cubic root of 255393600 is about 634.4586702390.

The spelling of 255393600 in words is "two hundred fifty-five million, three hundred ninety-three thousand, six hundred".