260884800 has 504 divisors, whose sum is σ = 1066202592. Its totient is φ = 62208000.

The previous prime is 260884787. The next prime is 260884847. The reversal of 260884800 is 8488062.

260884800 is a `hidden beast` number, since 2 + 608 + 8 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4276770 + ... + 4276830.

Almost surely, 2^260884800 is an apocalyptic number.

260884800 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 260884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533101296).

260884800 is an abundant number, since it is smaller than the sum of its proper divisors (805317792).

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

260884800 is a wasteful number, since it uses less digits than its factorization.

260884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 260884800 is about 16151.9286774057. The cubic root of 260884800 is about 638.9736152565.

The spelling of 260884800 in words is "two hundred sixty million, eight hundred eighty-four thousand, eight hundred".