260403584 has 64 divisors (see below), whose sum is σ = 596855040. Its totient is φ = 110854656.

The previous prime is 260403541. The next prime is 260403593. The reversal of 260403584 is 485304062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 260403584.

It is a congruent number.

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, 145157 + ... + 146939.

It is an arithmetic number, because the mean of its divisors is an integer number (9325860).

Almost surely, 2^260403584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260403584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298427520).

260403584 is an abundant number, since it is smaller than the sum of its proper divisors (336451456).

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

260403584 is a wasteful number, since it uses less digits than its factorization.

260403584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 260403584 is about 16137.0252525055. The cubic root of 260403584 is about 638.5804997533.

The spelling of 260403584 in words is "two hundred sixty million, four hundred three thousand, five hundred eighty-four".