260424000 has 168 divisors, whose sum is σ = 931837608. Its totient is φ = 69427200.

The previous prime is 260423987. The next prime is 260424023. The reversal of 260424000 is 424062.

260424000 is a `hidden beast` number, since 260 + 4 + 2 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 184525056 = 8712^2 + 13584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70192 + ... + 73808.

Almost surely, 2^260424000 is an apocalyptic number.

260424000 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 260424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465918804).

260424000 is an abundant number, since it is smaller than the sum of its proper divisors (671413608).

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

260424000 is a wasteful number, since it uses less digits than its factorization.

260424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 260424000 is about 16137.6578226210. The cubic root of 260424000 is about 638.5971878477.

Adding to 260424000 its reverse (424062), we get a palindrome (260848062).

The spelling of 260424000 in words is "two hundred sixty million, four hundred twenty-four thousand".