260352000 has 288 divisors, whose sum is σ = 946731240. Its totient is φ = 68812800.

The previous prime is 260351999. The next prime is 260352007. The reversal of 260352000 is 253062.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 244859904 = 3936^2 + 15648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (260352007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303944 + ... + 2304056.

Almost surely, 2^260352000 is an apocalyptic number.

260352000 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 260352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473365620).

260352000 is an abundant number, since it is smaller than the sum of its proper divisors (686379240).

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

260352000 is a wasteful number, since it uses less digits than its factorization.

260352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 260352000 is about 16135.4268614127. The cubic root of 260352000 is about 638.5383309637.

The spelling of 260352000 in words is "two hundred sixty million, three hundred fifty-two thousand".