255446400 has 384 divisors, whose sum is σ = 956188800. Its totient is φ = 59392000.

The previous prime is 255446383. The next prime is 255446407. The reversal of 255446400 is 4644552.

255446400 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 (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255446407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4329571 + ... + 4329629.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2^255446400 is an apocalyptic number.

255446400 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 255446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

255446400 is an abundant number, since it is smaller than the sum of its proper divisors (700742400).

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

255446400 is a wasteful number, since it uses less digits than its factorization.

255446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 255446400 is about 15982.6906370611. The cubic root of 255446400 is about 634.5023898278.

The spelling of 255446400 in words is "two hundred fifty-five million, four hundred forty-six thousand, four hundred".