261003414 has 48 divisors (see below), whose sum is σ = 633765888. Its totient is φ = 70182528.

The previous prime is 261003409. The next prime is 261003481. The reversal of 261003414 is 414300162.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387 + ... + 22889.

It is an arithmetic number, because the mean of its divisors is an integer number (13203456).

Almost surely, 2^261003414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261003414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316882944).

261003414 is an abundant number, since it is smaller than the sum of its proper divisors (372762474).

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

261003414 is a wasteful number, since it uses less digits than its factorization.

261003414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549 (or 21532 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 261003414 is about 16155.6000817054. The cubic root of 261003414 is about 639.0704392607.

Adding to 261003414 its reverse (414300162), we get a palindrome (675303576).

The spelling of 261003414 in words is "two hundred sixty-one million, three thousand, four hundred fourteen".