1201003461 has 24 divisors (see below), whose sum is σ = 2036196864. Its totient is φ = 667738080.

The previous prime is 1201003451. The next prime is 1201003499. The reversal of 1201003461 is 1643001021.

It is a happy number.

1201003461 is a `hidden beast` number, since 1 + 201 + 0 + 0 + 3 + 461 = 666.

It is not a de Polignac number, because 1201003461 - 2⁵ = 1201003429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201003451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255285 + ... + 259946.

It is an arithmetic number, because the mean of its divisors is an integer number (84841536).

Almost surely, 2^1201003461 is an apocalyptic number.

It is an amenable number.

1201003461 is a deficient number, since it is larger than the sum of its proper divisors (835193403).

1201003461 is a wasteful number, since it uses less digits than its factorization.

1201003461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515281 (or 515278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1201003461 is about 34655.4968367213. The cubic root of 1201003461 is about 1062.9546912212.

Adding to 1201003461 its reverse (1643001021), we get a palindrome (2844004482).

The spelling of 1201003461 in words is "one billion, two hundred one million, three thousand, four hundred sixty-one".