260110400 has 84 divisors (see below), whose sum is σ = 698266320. Its totient is φ = 94579200.

The previous prime is 260110393. The next prime is 260110439. The reversal of 260110400 is 4011062.

260110400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10211 + ... + 24989.

Almost surely, 2^260110400 is an apocalyptic number.

260110400 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 260110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349133160).

260110400 is an abundant number, since it is smaller than the sum of its proper divisors (438155920).

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

260110400 is a wasteful number, since it uses less digits than its factorization.

260110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812 (or 14797 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 260110400 is about 16127.9384919462. The cubic root of 260110400 is about 638.3407540868.

Adding to 260110400 its reverse (4011062), we get a palindrome (264121462).

The spelling of 260110400 in words is "two hundred sixty million, one hundred ten thousand, four hundred".