463744 has 16 divisors (see below), whose sum is σ = 924120. Its totient is φ = 231808.

The previous prime is 463741. The next prime is 463747. The reversal of 463744 is 447364.

463744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (463741) and next prime (463747).

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1684 + ... + 1939.

2⁴⁶³⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

463744 is a deficient number, since it is larger than the sum of its proper divisors (460376).

463744 is an equidigital number, since it uses as much as digits as its factorization.

463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3625 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 463744 is about 680.9875182410. The cubic root of 463744 is about 77.4032924861.

The spelling of 463744 in words is "four hundred sixty-three thousand, seven hundred forty-four".