261479040 has 128 divisors (see below), whose sum is σ = 882601920. Its totient is φ = 65617920.

The previous prime is 261479027. The next prime is 261479069. The reversal of 261479040 is 40974162.

It is a happy number.

261479040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 261478992 and 261479010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28635 + ... + 36645.

Almost surely, 2^261479040 is an apocalyptic number.

261479040 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 261479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441300960).

261479040 is an abundant number, since it is smaller than the sum of its proper divisors (621122880).

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

261479040 is a wasteful number, since it uses less digits than its factorization.

261479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 261479040 is about 16170.3135405594. The cubic root of 261479040 is about 639.4583959601.

The spelling of 261479040 in words is "two hundred sixty-one million, four hundred seventy-nine thousand, forty".