463440 has 40 divisors (see below), whose sum is σ = 1437408. Its totient is φ = 123520.

The previous prime is 463433. The next prime is 463447. The reversal of 463440 is 44364.

It is an interprime number because it is at equal distance from previous prime (463433) and next prime (463447).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463447) by changing a digit.

463440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 726 + ... + 1205.

2⁴⁶³⁴⁴⁰ is an apocalyptic number.

463440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463440 is an abundant number, since it is smaller than the sum of its proper divisors (973968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463440 is a wasteful number, since it uses less digits than its factorization.

463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 463440 is about 680.7642763835. The cubic root of 463440 is about 77.3863752901.

It can be divided in two parts, 463 and 440, that added together give a triangular number (903 = T₄₂).

The spelling of 463440 in words is "four hundred sixty-three thousand, four hundred forty".