260879424 has 112 divisors (see below), whose sum is σ = 782604480. Its totient is φ = 76032000.

The previous prime is 260879387. The next prime is 260879429. The reversal of 260879424 is 424978062.

It is a super-3 number, since 3×260879424³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260879429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44674 + ... + 50174.

It is an arithmetic number, because the mean of its divisors is an integer number (6987540).

Almost surely, 2^260879424 is an apocalyptic number.

260879424 is a gapful number since it is divisible by the number (24) 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 260879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391302240).

260879424 is an abundant number, since it is smaller than the sum of its proper divisors (521725056).

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

260879424 is a wasteful number, since it uses less digits than its factorization.

260879424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 260879424 is about 16151.7622567941. The cubic root of 260879424 is about 638.9692261600.

It can be divided in two parts, 26087 and 9424, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 260879424 in words is "two hundred sixty million, eight hundred seventy-nine thousand, four hundred twenty-four".