261403416 has 64 divisors (see below), whose sum is σ = 735360000. Its totient is φ = 86025888.

The previous prime is 261403379. The next prime is 261403423. The reversal of 261403416 is 614304162.

261403416 is a `hidden beast` number, since 2 + 614 + 0 + 3 + 41 + 6 = 666.

261403416 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 self number, because there is not a number n which added to its sum of digits gives 261403416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405 + ... + 24723.

It is an arithmetic number, because the mean of its divisors is an integer number (11490000).

Almost surely, 2^261403416 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 261403416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367680000).

261403416 is an abundant number, since it is smaller than the sum of its proper divisors (473956584).

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

261403416 is a wasteful number, since it uses less digits than its factorization.

261403416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15413 (or 15403 counting only the distinct ones).

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

The square root of 261403416 is about 16167.9750123508. The cubic root of 261403416 is about 639.3967427527.

Adding to 261403416 its reverse (614304162), we get a palindrome (875707578).

The spelling of 261403416 in words is "two hundred sixty-one million, four hundred three thousand, four hundred sixteen".