255014400 has 240 divisors, whose sum is σ = 875278800. Its totient is φ = 65372160.

The previous prime is 255014369. The next prime is 255014411. The reversal of 255014400 is 4410552.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1113486 + ... + 1113714.

It is an arithmetic number, because the mean of its divisors is an integer number (3646995).

Almost surely, 2^255014400 is an apocalyptic number.

255014400 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 255014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437639400).

255014400 is an abundant number, since it is smaller than the sum of its proper divisors (620264400).

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

255014400 is a wasteful number, since it uses less digits than its factorization.

255014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 255014400 is about 15969.1702977957. The cubic root of 255014400 is about 634.1445069269.

Adding to 255014400 its reverse (4410552), we get a palindrome (259424952).

The spelling of 255014400 in words is "two hundred fifty-five million, fourteen thousand, four hundred".