255466400 has 216 divisors, whose sum is σ = 765888480. Its totient is φ = 82978560.

The previous prime is 255466391. The next prime is 255466417. The reversal of 255466400 is 4664552.

255466400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13445591 + ... + 13445609.

It is an arithmetic number, because the mean of its divisors is an integer number (3545780).

Almost surely, 2^255466400 is an apocalyptic number.

255466400 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 255466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382944240).

255466400 is an abundant number, since it is smaller than the sum of its proper divisors (510422080).

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

255466400 is an frugal number, since it uses more digits than its factorization.

255466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 255466400 is about 15983.3163016941. The cubic root of 255466400 is about 634.5189487049.

The spelling of 255466400 in words is "two hundred fifty-five million, four hundred sixty-six thousand, four hundred".