261054400 has 84 divisors (see below), whose sum is σ = 646864848. Its totient is φ = 103690240.

The previous prime is 261054377. The next prime is 261054413. The reversal of 261054400 is 4450162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266712 + ... + 267688.

It is an arithmetic number, because the mean of its divisors is an integer number (7700772).

Almost surely, 2^261054400 is an apocalyptic number.

261054400 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 261054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323432424).

261054400 is an abundant number, since it is smaller than the sum of its proper divisors (385810448).

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

261054400 is a wasteful number, since it uses less digits than its factorization.

261054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 261054400 is about 16157.1779714157. The cubic root of 261054400 is about 639.1120498581.

The spelling of 261054400 in words is "two hundred sixty-one million, fifty-four thousand, four hundred".