255420000 has 480 divisors, whose sum is σ = 1039167360. Its totient is φ = 60480000.

The previous prime is 255419977. The next prime is 255420007. The reversal of 255420000 is 24552.

255420000 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255420007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939979 + ... + 5940021.

It is an arithmetic number, because the mean of its divisors is an integer number (2164932).

Almost surely, 2^255420000 is an apocalyptic number.

255420000 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 255420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519583680).

255420000 is an abundant number, since it is smaller than the sum of its proper divisors (783747360).

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

255420000 is a wasteful number, since it uses less digits than its factorization.

255420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 255420000 is about 15981.8647222406. The cubic root of 255420000 is about 634.4805307866.

Adding to 255420000 its reverse (24552), we get a palindrome (255444552).

The spelling of 255420000 in words is "two hundred fifty-five million, four hundred twenty thousand".