260433360 has 320 divisors, whose sum is σ = 997436160. Its totient is φ = 61931520.

The previous prime is 260433359. The next prime is 260433377. The reversal of 260433360 is 63334062.

260433360 is a `hidden beast` number, since 260 + 43 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2304664 + ... + 2304776.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^260433360 is an apocalyptic number.

260433360 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 260433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

260433360 is an abundant number, since it is smaller than the sum of its proper divisors (737002800).

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

260433360 is a wasteful number, since it uses less digits than its factorization.

260433360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 260433360 is about 16137.9478249250. The cubic root of 260433360 is about 638.6048384458.

It can be divided in two parts, 26043 and 3360, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 260433360 in words is "two hundred sixty million, four hundred thirty-three thousand, three hundred sixty".