261480 has 32 divisors (see below), whose sum is σ = 784800. Its totient is φ = 69696.

The previous prime is 261467. The next prime is 261509. The reversal of 261480 is 84162.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (24525).

2²⁶¹⁴⁸⁰ is an apocalyptic number.

261480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261480 is an abundant number, since it is smaller than the sum of its proper divisors (523320).

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

261480 is a wasteful number, since it uses less digits than its factorization.

261480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2189 counting only the distinct ones).

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

The square root of 261480 is about 511.3511513627. The cubic root of 261480 is about 63.9459178533.

It can be divided in two parts, 261 and 480, that added together give a triangular number (741 = T₃₈).

The spelling of 261480 in words is "two hundred sixty-one thousand, four hundred eighty".