260346400 has 72 divisors (see below), whose sum is σ = 637904484. Its totient is φ = 103756800.

The previous prime is 260346343. The next prime is 260346403. The reversal of 260346400 is 4643062.

It can be written as a sum of positive squares in 6 ways, for example, as 104976 + 260241424 = 324^2 + 16132^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (260346403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336414 + ... + 337186.

Almost surely, 2^260346400 is an apocalyptic number.

260346400 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 260346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318952242).

260346400 is an abundant number, since it is smaller than the sum of its proper divisors (377558084).

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

260346400 is a wasteful number, since it uses less digits than its factorization.

260346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 260346400 is about 16135.2533292787. The cubic root of 260346400 is about 638.5337527513.

Adding to 260346400 its reverse (4643062), we get a palindrome (264989462).

The spelling of 260346400 in words is "two hundred sixty million, three hundred forty-six thousand, four hundred".