260894400 has 336 divisors, whose sum is σ = 955084704. Its totient is φ = 61931520.

The previous prime is 260894383. The next prime is 260894407. The reversal of 260894400 is 4498062.

260894400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (260894407) 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, 2308744 + ... + 2308856.

It is an arithmetic number, because the mean of its divisors is an integer number (2842514).

Almost surely, 2^260894400 is an apocalyptic number.

260894400 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 260894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477542352).

260894400 is an abundant number, since it is smaller than the sum of its proper divisors (694190304).

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

260894400 is a wasteful number, since it uses less digits than its factorization.

260894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 260894400 is about 16152.2258528043. The cubic root of 260894400 is about 638.9814527790.

The spelling of 260894400 in words is "two hundred sixty million, eight hundred ninety-four thousand, four hundred".