261033408 has 112 divisors (see below), whose sum is σ = 794004000. Its totient is φ = 83994624.

The previous prime is 261033401. The next prime is 261033431. The reversal of 261033408 is 804330162.

It is a happy number.

261033408 is a `hidden beast` number, since 2 + 610 + 3 + 3 + 40 + 8 = 666.

261033408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261033401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47508 + ... + 52716.

Almost surely, 2^261033408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397002000).

261033408 is an abundant number, since it is smaller than the sum of its proper divisors (532970592).

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

261033408 is a wasteful number, since it uses less digits than its factorization.

261033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 261033408 is about 16156.5283399621. The cubic root of 261033408 is about 639.0949185631.

The spelling of 261033408 in words is "two hundred sixty-one million, thirty-three thousand, four hundred eight".