261882400 has 144 divisors (see below), whose sum is σ = 697221000. Its totient is φ = 96046080.

The previous prime is 261882373. The next prime is 261882407. The reversal of 261882400 is 4288162.

It can be written as a sum of positive squares in 12 ways, for example, as 172239376 + 89643024 = 13124^2 + 9468^2 .

It is not an unprimeable number, because it can be changed into a prime (261882407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1757526 + ... + 1757674.

Almost surely, 2^261882400 is an apocalyptic number.

261882400 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 261882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348610500).

261882400 is an abundant number, since it is smaller than the sum of its proper divisors (435338600).

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

261882400 is a wasteful number, since it uses less digits than its factorization.

261882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 261882400 is about 16182.7809723793. The cubic root of 261882400 is about 639.7870385194.

The spelling of 261882400 in words is "two hundred sixty-one million, eight hundred eighty-two thousand, four hundred".