260109408 has 192 divisors, whose sum is σ = 778643712. Its totient is φ = 75479040.

The previous prime is 260109397. The next prime is 260109413. The reversal of 260109408 is 804901062.

It is a super-2 number, since 2×260109408² = 135313808260220928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985503 + ... + 1985633.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^260109408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389321856).

260109408 is an abundant number, since it is smaller than the sum of its proper divisors (518534304).

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

260109408 is a wasteful number, since it uses less digits than its factorization.

260109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 260109408 is about 16127.9077378313. The cubic root of 260109408 is about 638.3399425918.

The spelling of 260109408 in words is "two hundred sixty million, one hundred nine thousand, four hundred eight".