260566400 has 96 divisors (see below), whose sum is σ = 650549880. Its totient is φ = 103116800.

The previous prime is 260566393. The next prime is 260566447. The reversal of 260566400 is 4665062.

It is a hoax number, since the sum of its digits (29) 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 11 ways as a sum of consecutive naturals, for example, 342020 + ... + 342780.

Almost surely, 2^260566400 is an apocalyptic number.

260566400 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 260566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325274940).

260566400 is an abundant number, since it is smaller than the sum of its proper divisors (389983480).

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

260566400 is a wasteful number, since it uses less digits than its factorization.

260566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 260566400 is about 16142.0692601661. The cubic root of 260566400 is about 638.7135617481.

The spelling of 260566400 in words is "two hundred sixty million, five hundred sixty-six thousand, four hundred".