743461641 has 48 divisors (see below), whose sum is σ = 1181099920. Its totient is φ = 447897600.

The previous prime is 743461613. The next prime is 743461657. The reversal of 743461641 is 146164347.

743461641 is a `hidden beast` number, since 7 + 4 + 3 + 4 + 6 + 1 + 641 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3404025 + 740057616 = 1845^2 + 27204^2 .

It is not a de Polignac number, because 743461641 - 2¹¹ = 743459593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 743461596 and 743461605.

It is not an unprimeable number, because it can be changed into a prime (743461601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236741 + ... + 1237341.

Almost surely, 2^743461641 is an apocalyptic number.

It is an amenable number.

743461641 is a deficient number, since it is larger than the sum of its proper divisors (437638279).

743461641 is a wasteful number, since it uses less digits than its factorization.

743461641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 823 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 743461641 is about 27266.4930088195. The cubic root of 743461641 is about 905.9123674432.

The spelling of 743461641 in words is "seven hundred forty-three million, four hundred sixty-one thousand, six hundred forty-one".