1461456441 has 9 divisors (see below), whose sum is σ = 2111158309. Its totient is φ = 974227836.

The previous prime is 1461456427. The next prime is 1461456443. The reversal of 1461456441 is 1446541641.

The square root of 1461456441 is 38229.

It is a perfect power (a square), and thus also a powerful number.

1461456441 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 4 + 5 + 644 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1461456441 - 2¹³ = 1461448249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461456396 and 1461456405.

It is not an unprimeable number, because it can be changed into a prime (1461456443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108316 + ... + 121058.

Almost surely, 2^1461456441 is an apocalyptic number.

1461456441 is the 38229-th square number.

1461456441 is the 19115-th centered octagonal number.

It is an amenable number.

1461456441 is a deficient number, since it is larger than the sum of its proper divisors (649701868).

1461456441 is an frugal number, since it uses more digits than its factorization.

1461456441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25492 (or 12746 counting only the distinct ones).

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

The cubic root of 1461456441 is about 1134.8242959334.

Multiplying 1461456441 by its sum of digits (36), we get a square (52612431876 = 229374²).

The spelling of 1461456441 in words is "one billion, four hundred sixty-one million, four hundred fifty-six thousand, four hundred forty-one".