1461384905 has 32 divisors (see below), whose sum is σ = 1881369600. Its totient is φ = 1086478272.

The previous prime is 1461384887. The next prime is 1461384929. The reversal of 1461384905 is 5094831641.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1461384905 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2793974 + ... + 2794496.

It is an arithmetic number, because the mean of its divisors is an integer number (58792800).

Almost surely, 2^1461384905 is an apocalyptic number.

It is an amenable number.

1461384905 is a deficient number, since it is larger than the sum of its proper divisors (419984695).

1461384905 is a wasteful number, since it uses less digits than its factorization.

1461384905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 1461384905 is about 38228.0643637629. The cubic root of 1461384905 is about 1134.8057796750.

The spelling of 1461384905 in words is "one billion, four hundred sixty-one million, three hundred eighty-four thousand, nine hundred five".