261000480 has 192 divisors, whose sum is σ = 894475008. Its totient is φ = 63590400.

The previous prime is 261000449. The next prime is 261000521. The reversal of 261000480 is 84000162.

It is a super-3 number, since 3×261000480³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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, 942102 + ... + 942378.

It is an arithmetic number, because the mean of its divisors is an integer number (4658724).

Almost surely, 2^261000480 is an apocalyptic number.

261000480 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 261000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447237504).

261000480 is an abundant number, since it is smaller than the sum of its proper divisors (633474528).

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

261000480 is a wasteful number, since it uses less digits than its factorization.

261000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 261000480 is about 16155.5092770237. The cubic root of 261000480 is about 639.0680446053.

The spelling of 261000480 in words is "two hundred sixty-one million, four hundred eighty", and thus it is an aban number.