260048880 has 560 divisors, whose sum is σ = 1138468800. Its totient is φ = 54867456.

The previous prime is 260048869. The next prime is 260048891. The reversal of 260048880 is 88840062.

260048880 is a `hidden beast` number, since 2 + 600 + 48 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260048869) and next prime (260048891).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003754 + ... + 20003766.

It is an arithmetic number, because the mean of its divisors is an integer number (2032980).

Almost surely, 2^260048880 is an apocalyptic number.

260048880 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 260048880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569234400).

260048880 is an abundant number, since it is smaller than the sum of its proper divisors (878419920).

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

260048880 is an equidigital number, since it uses as much as digits as its factorization.

260048880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 260048880 is about 16126.0311298224. The cubic root of 260048880 is about 638.2904244067.

The spelling of 260048880 in words is "two hundred sixty million, forty-eight thousand, eight hundred eighty".