260754480 has 360 divisors, whose sum is σ = 1075042800. Its totient is φ = 56318976.

The previous prime is 260754479. The next prime is 260754509. The reversal of 260754480 is 84457062.

260754480 is a `hidden beast` number, since 2 + 607 + 5 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670126 + ... + 670514.

It is an arithmetic number, because the mean of its divisors is an integer number (2986230).

Almost surely, 2^260754480 is an apocalyptic number.

260754480 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 260754480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537521400).

260754480 is an abundant number, since it is smaller than the sum of its proper divisors (814288320).

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

260754480 is a wasteful number, since it uses less digits than its factorization.

260754480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 260754480 is about 16147.8939803307. The cubic root of 260754480 is about 638.8672018627.

The spelling of 260754480 in words is "two hundred sixty million, seven hundred fifty-four thousand, four hundred eighty".