261466200 has 72 divisors (see below), whose sum is σ = 878096700. Its totient is φ = 69723840.

The previous prime is 261466199. The next prime is 261466213. The reversal of 261466200 is 2664162.

It is a happy number.

261466200 is a `hidden beast` number, since 26 + 14 + 6 + 620 + 0 = 666.

261466200 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70830 + ... + 74429.

Almost surely, 2^261466200 is an apocalyptic number.

261466200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261466200 is an abundant number, since it is smaller than the sum of its proper divisors (616630500).

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

261466200 is a wasteful number, since it uses less digits than its factorization.

261466200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145281 (or 145269 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 261466200 is about 16169.9165118438. The cubic root of 261466200 is about 639.4479288621.

The spelling of 261466200 in words is "two hundred sixty-one million, four hundred sixty-six thousand, two hundred".