260415400 has 72 divisors (see below), whose sum is σ = 704343870. Its totient is φ = 89281920.

The previous prime is 260415373. The next prime is 260415409. The reversal of 260415400 is 4514062.

It can be written as a sum of positive squares in 3 ways, for example, as 254274916 + 6140484 = 15946^2 + 2478^2 .

It is a super-3 number, since 3×260415400³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (260415409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3487 + ... + 23086.

Almost surely, 2^260415400 is an apocalyptic number.

260415400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260415400 is an abundant number, since it is smaller than the sum of its proper divisors (443928470).

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

260415400 is a wasteful number, since it uses less digits than its factorization.

260415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26603 (or 26587 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 260415400 is about 16137.3913629186. The cubic root of 260415400 is about 638.5901582904.

Adding to 260415400 its reverse (4514062), we get a palindrome (264929462).

The spelling of 260415400 in words is "two hundred sixty million, four hundred fifteen thousand, four hundred".