255158400 has 192 divisors, whose sum is σ = 960742080. Its totient is φ = 58306560.

The previous prime is 255158399. The next prime is 255158413. The reversal of 255158400 is 4851552.

It is a tau number, because it is divible by the number of its divisors (192).

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, 65302 + ... + 69098.

It is an arithmetic number, because the mean of its divisors is an integer number (5003865).

Almost surely, 2^255158400 is an apocalyptic number.

255158400 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 255158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480371040).

255158400 is an abundant number, since it is smaller than the sum of its proper divisors (705583680).

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

255158400 is a wasteful number, since it uses less digits than its factorization.

255158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 255158400 is about 15973.6783490842. The cubic root of 255158400 is about 634.2638461045.

The spelling of 255158400 in words is "two hundred fifty-five million, one hundred fifty-eight thousand, four hundred".