260640400 has 60 divisors (see below), whose sum is σ = 647810100. Its totient is φ = 100656640.

The previous prime is 260640397. The next prime is 260640409. The reversal of 260640400 is 4046062.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 260628736 = 108^2 + 16144^2 .

It is a super-2 number, since 2×260640400² = 135866836224320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260640409) 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, 366 + ... + 22834.

It is an arithmetic number, because the mean of its divisors is an integer number (10796835).

Almost surely, 2^260640400 is an apocalyptic number.

260640400 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 260640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323905050).

260640400 is an abundant number, since it is smaller than the sum of its proper divisors (387169700).

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

260640400 is a wasteful number, since it uses less digits than its factorization.

260640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22516 (or 22505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 260640400 is about 16144.3612447195. The cubic root of 260640400 is about 638.7740202082.

Adding to 260640400 its reverse (4046062), we get a palindrome (264686462).

The spelling of 260640400 in words is "two hundred sixty million, six hundred forty thousand, four hundred".