261480000 has 140 divisors (see below), whose sum is σ = 864910640. Its totient is φ = 69696000.

The previous prime is 261479993. The next prime is 261480013. The reversal of 261480000 is 84162.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118911 + ... + 121089.

Almost surely, 2^261480000 is an apocalyptic number.

261480000 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 261480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432455320).

261480000 is an abundant number, since it is smaller than the sum of its proper divisors (603430640).

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

261480000 is an equidigital number, since it uses as much as digits as its factorization.

261480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2189 counting only the distinct ones).

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

The square root of 261480000 is about 16170.3432245577. The cubic root of 261480000 is about 639.4591785331.

The spelling of 261480000 in words is "two hundred sixty-one million, four hundred eighty thousand".