261456260 has 96 divisors (see below), whose sum is σ = 631864800. Its totient is φ = 90021888.

The previous prime is 261456259. The next prime is 261456269. The reversal of 261456260 is 62654162.

It can be written as a sum of positive squares in 16 ways, for example, as 93857344 + 167598916 = 9688^2 + 12946^2 .

It is not an unprimeable number, because it can be changed into a prime (261456269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658382 + ... + 658778.

It is an arithmetic number, because the mean of its divisors is an integer number (6581925).

Almost surely, 2^261456260 is an apocalyptic number.

261456260 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 261456260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315932400).

261456260 is an abundant number, since it is smaller than the sum of its proper divisors (370408540).

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

261456260 is a wasteful number, since it uses less digits than its factorization.

261456260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 261456260 is about 16169.6091480283. The cubic root of 261456260 is about 639.4398255930.

The spelling of 261456260 in words is "two hundred sixty-one million, four hundred fifty-six thousand, two hundred sixty".