260066400 has 144 divisors (see below), whose sum is σ = 923565888. Its totient is φ = 63040000.

The previous prime is 260066399. The next prime is 260066407. The reversal of 260066400 is 4660062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260066407) 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, 21475 + ... + 31325.

It is an arithmetic number, because the mean of its divisors is an integer number (6413652).

Almost surely, 2^260066400 is an apocalyptic number.

260066400 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 260066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461782944).

260066400 is an abundant number, since it is smaller than the sum of its proper divisors (663499488).

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

260066400 is a wasteful number, since it uses less digits than its factorization.

260066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 260066400 is about 16126.5743417503. The cubic root of 260066400 is about 638.3047583749.

The spelling of 260066400 in words is "two hundred sixty million, sixty-six thousand, four hundred".