255142800 has 360 divisors, whose sum is σ = 1025425440. Its totient is φ = 58060800.

The previous prime is 255142793. The next prime is 255142819. The reversal of 255142800 is 8241552.

It is a happy number.

255142800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673011 + ... + 673389.

It is an arithmetic number, because the mean of its divisors is an integer number (2848404).

Almost surely, 2^255142800 is an apocalyptic number.

255142800 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 255142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512712720).

255142800 is an abundant number, since it is smaller than the sum of its proper divisors (770282640).

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

255142800 is a wasteful number, since it uses less digits than its factorization.

255142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 255142800 is about 15973.1900383111. The cubic root of 255142800 is about 634.2509198625.

The spelling of 255142800 in words is "two hundred fifty-five million, one hundred forty-two thousand, eight hundred".