261273800 has 48 divisors (see below), whose sum is σ = 609754500. Its totient is φ = 104115200.

The previous prime is 261273787. The next prime is 261273809. The reversal of 261273800 is 8372162.

It is a happy number.

261273800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 197177764 + 64096036 = 14042^2 + 8006^2 .

It is not an unprimeable number, because it can be changed into a prime (261273809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53876 + ... + 58524.

Almost surely, 2^261273800 is an apocalyptic number.

261273800 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 261273800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304877250).

261273800 is an abundant number, since it is smaller than the sum of its proper divisors (348480700).

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

261273800 is a wasteful number, since it uses less digits than its factorization.

261273800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 261273800 is about 16163.9660974651. The cubic root of 261273800 is about 639.2910443763.

The spelling of 261273800 in words is "two hundred sixty-one million, two hundred seventy-three thousand, eight hundred".