260390900448 has 384 divisors, whose sum is σ = 912192906240. Its totient is φ = 70700636160.

The previous prime is 260390900359. The next prime is 260390900453. The reversal of 260390900448 is 844009093062.

It is a super-2 number, since 2×260390900448² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 9608838 + ... + 9635898.

It is an arithmetic number, because the mean of its divisors is an integer number (2375502360).

Almost surely, 2^260390900448 is an apocalyptic number.

260390900448 is a gapful number since it is divisible by the number (28) 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 260390900448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456096453120).

260390900448 is an abundant number, since it is smaller than the sum of its proper divisors (651802005792).

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

260390900448 is a wasteful number, since it uses less digits than its factorization.

260390900448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27167 (or 27153 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 260390900448 in words is "two hundred sixty billion, three hundred ninety million, nine hundred thousand, four hundred forty-eight".