260299200 has 336 divisors, whose sum is σ = 999809024. Its totient is φ = 58060800.

The previous prime is 260299199. The next prime is 260299241. The reversal of 260299200 is 2992062.

260299200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049537 + ... + 2049663.

Almost surely, 2^260299200 is an apocalyptic number.

260299200 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 260299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499904512).

260299200 is an abundant number, since it is smaller than the sum of its proper divisors (739509824).

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

260299200 is a wasteful number, since it uses less digits than its factorization.

260299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 260299200 is about 16133.7906271279. The cubic root of 260299200 is about 638.4951623519.

The spelling of 260299200 in words is "two hundred sixty million, two hundred ninety-nine thousand, two hundred".