255057600 has 168 divisors, whose sum is σ = 956470528. Its totient is φ = 58291200.

The previous prime is 255057599. The next prime is 255057617. The reversal of 255057600 is 6750552.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29805 + ... + 37395.

Almost surely, 2^255057600 is an apocalyptic number.

255057600 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 255057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478235264).

255057600 is an abundant number, since it is smaller than the sum of its proper divisors (701412928).

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

255057600 is a wasteful number, since it uses less digits than its factorization.

255057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 255057600 is about 15970.5228467950. The cubic root of 255057600 is about 634.1803133963.

The spelling of 255057600 in words is "two hundred fifty-five million, fifty-seven thousand, six hundred".