1461106308 has 48 divisors (see below), whose sum is σ = 3596725440. Its totient is φ = 460368000.

The previous prime is 1461106277. The next prime is 1461106337. The reversal of 1461106308 is 8036011641.

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, 98158 + ... + 112058.

It is an arithmetic number, because the mean of its divisors is an integer number (74931780).

Almost surely, 2^1461106308 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 1461106308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798362720).

1461106308 is an abundant number, since it is smaller than the sum of its proper divisors (2135619132).

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

1461106308 is a wasteful number, since it uses less digits than its factorization.

1461106308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1461106308 is about 38224.4203095351. The cubic root of 1461106308 is about 1134.7336623345.

Adding to 1461106308 its reverse (8036011641), we get a palindrome (9497117949).

The spelling of 1461106308 in words is "one billion, four hundred sixty-one million, one hundred six thousand, three hundred eight".