261042400 has 72 divisors (see below), whose sum is σ = 654567480. Its totient is φ = 101583360.

The previous prime is 261042377. The next prime is 261042401. The reversal of 261042400 is 4240162.

261042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261042401) 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, 25191 + ... + 34009.

It is an arithmetic number, because the mean of its divisors is an integer number (9091215).

Almost surely, 2^261042400 is an apocalyptic number.

261042400 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 261042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327283740).

261042400 is an abundant number, since it is smaller than the sum of its proper divisors (393525080).

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

261042400 is a wasteful number, since it uses less digits than its factorization.

261042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 261042400 is about 16156.8066151700. The cubic root of 261042400 is about 639.1022569285.

Adding to 261042400 its reverse (4240162), we get a palindrome (265282562).

The spelling of 261042400 in words is "two hundred sixty-one million, forty-two thousand, four hundred".