1461546441 has 12 divisors (see below), whose sum is σ = 2124571332. Its totient is φ = 968157216.

The previous prime is 1461546439. The next prime is 1461546461. The reversal of 1461546441 is 1446451641.

1461546441 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 5 + 4 + 644 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417998025 + 1043548416 = 20445^2 + 32304^2 .

It is not a de Polignac number, because 1461546441 - 2¹ = 1461546439 is a prime.

It is a super-2 number, since 2×1461546441² = 4272235998399532962, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1461546396 and 1461546405.

It is not an unprimeable number, because it can be changed into a prime (1461546461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515766 + ... + 518591.

It is an arithmetic number, because the mean of its divisors is an integer number (177047611).

Almost surely, 2^1461546441 is an apocalyptic number.

It is an amenable number.

1461546441 is a deficient number, since it is larger than the sum of its proper divisors (663024891).

1461546441 is a wasteful number, since it uses less digits than its factorization.

1461546441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034520 (or 1034517 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1461546441 is about 38230.1770987266. The cubic root of 1461546441 is about 1134.8475905244.

The spelling of 1461546441 in words is "one billion, four hundred sixty-one million, five hundred forty-six thousand, four hundred forty-one".