260339400 has 192 divisors, whose sum is σ = 921667200. Its totient is φ = 67495680.

The previous prime is 260339393. The next prime is 260339419. The reversal of 260339400 is 4933062.

260339400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199149 + ... + 200451.

It is an arithmetic number, because the mean of its divisors is an integer number (4800350).

Almost surely, 2^260339400 is an apocalyptic number.

260339400 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 260339400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460833600).

260339400 is an abundant number, since it is smaller than the sum of its proper divisors (661327800).

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

260339400 is a wasteful number, since it uses less digits than its factorization.

260339400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 260339400 is about 16135.0364114867. The cubic root of 260339400 is about 638.5280298934.

The spelling of 260339400 in words is "two hundred sixty million, three hundred thirty-nine thousand, four hundred".