261789400 has 48 divisors (see below), whose sum is σ = 610273440. Its totient is φ = 104438400.

The previous prime is 261789397. The next prime is 261789401. The reversal of 261789400 is 4987162.

261789400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 261789400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261789401) 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, 84682 + ... + 87718.

It is an arithmetic number, because the mean of its divisors is an integer number (12714030).

Almost surely, 2^261789400 is an apocalyptic number.

261789400 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 261789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305136720).

261789400 is an abundant number, since it is smaller than the sum of its proper divisors (348484040).

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

261789400 is a wasteful number, since it uses less digits than its factorization.

261789400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 261789400 is about 16179.9072926887. The cubic root of 261789400 is about 639.7112955661.

The spelling of 261789400 in words is "two hundred sixty-one million, seven hundred eighty-nine thousand, four hundred".