260496000 has 384 divisors, whose sum is σ = 984634560. Its totient is φ = 68428800.

The previous prime is 260495987. The next prime is 260496013. The reversal of 260496000 is 694062.

It is an interprime number because it is at equal distance from previous prime (260495987) and next prime (260496013).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 3887967 + ... + 3888033.

Almost surely, 2^260496000 is an apocalyptic number.

260496000 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 260496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492317280).

260496000 is an abundant number, since it is smaller than the sum of its proper divisors (724138560).

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

260496000 is an frugal number, since it uses more digits than its factorization.

260496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 260496000 is about 16139.8884754511. Note that the first 3 decimals coincide. The cubic root of 260496000 is about 638.6560338845.

The spelling of 260496000 in words is "two hundred sixty million, four hundred ninety-six thousand".