261200456 has 32 divisors (see below), whose sum is σ = 536608800. Its totient is φ = 118208640.

The previous prime is 261200453. The next prime is 261200509. The reversal of 261200456 is 654002162.

261200456 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (261200453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14135 + ... + 26873.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

Almost surely, 2^261200456 is an apocalyptic number.

It is an amenable number.

261200456 is an abundant number, since it is smaller than the sum of its proper divisors (275408344).

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

261200456 is a wasteful number, since it uses less digits than its factorization.

261200456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989 (or 12985 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 261200456 is about 16161.6971881050. The cubic root of 261200456 is about 639.2312188211.

The spelling of 261200456 in words is "two hundred sixty-one million, two hundred thousand, four hundred fifty-six".