260475120 has 120 divisors (see below), whose sum is σ = 883053600. Its totient is φ = 68802048.

The previous prime is 260475119. The next prime is 260475179. The reversal of 260475120 is 21574062.

260475120 is a `hidden beast` number, since 2 + 604 + 7 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 76821 + ... + 80139.

It is an arithmetic number, because the mean of its divisors is an integer number (7358780).

Almost surely, 2^260475120 is an apocalyptic number.

260475120 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 260475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441526800).

260475120 is an abundant number, since it is smaller than the sum of its proper divisors (622578480).

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

260475120 is a wasteful number, since it uses less digits than its factorization.

260475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 260475120 is about 16139.2416178704. The cubic root of 260475120 is about 638.6389696503.

The spelling of 260475120 in words is "two hundred sixty million, four hundred seventy-five thousand, one hundred twenty".