261708400 has 60 divisors (see below), whose sum is σ = 645784312. Its totient is φ = 101848320.

The previous prime is 261708373. The next prime is 261708409. The reversal of 261708400 is 4807162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261708409) 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, 5959 + ... + 23641.

Almost surely, 2^261708400 is an apocalyptic number.

261708400 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 261708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322892156).

261708400 is an abundant number, since it is smaller than the sum of its proper divisors (384075912).

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

261708400 is a wasteful number, since it uses less digits than its factorization.

261708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17738 (or 17727 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 261708400 is about 16177.4039944609. The cubic root of 261708400 is about 639.6453112799.

The spelling of 261708400 in words is "two hundred sixty-one million, seven hundred eight thousand, four hundred".