260906480 has 160 divisors (see below), whose sum is σ = 707097600. Its totient is φ = 88805376.

The previous prime is 260906449. The next prime is 260906483. The reversal of 260906480 is 84609062.

It is a super-3 number, since 3×260906480³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260906480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260906483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594101 + ... + 594539.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^260906480 is an apocalyptic number.

260906480 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 260906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353548800).

260906480 is an abundant number, since it is smaller than the sum of its proper divisors (446191120).

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

260906480 is a wasteful number, since it uses less digits than its factorization.

260906480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 260906480 is about 16152.5997907458. The cubic root of 260906480 is about 638.9913147217.

The spelling of 260906480 in words is "two hundred sixty million, nine hundred six thousand, four hundred eighty".