260464820 has 96 divisors (see below), whose sum is σ = 722131200. Its totient is φ = 76400640.

The previous prime is 260464807. The next prime is 260464823. The reversal of 260464820 is 28464062.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260464823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21206 + ... + 31154.

It is an arithmetic number, because the mean of its divisors is an integer number (7522200).

Almost surely, 2^260464820 is an apocalyptic number.

260464820 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 260464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361065600).

260464820 is an abundant number, since it is smaller than the sum of its proper divisors (461666380).

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

260464820 is a wasteful number, since it uses less digits than its factorization.

260464820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 260464820 is about 16138.9225166986. The cubic root of 260464820 is about 638.6305516126.

The spelling of 260464820 in words is "two hundred sixty million, four hundred sixty-four thousand, eight hundred twenty".