463840 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 170496.

The previous prime is 463831. The next prime is 463849. The reversal of 463840 is 48364.

It is an interprime number because it is at equal distance from previous prime (463831) and next prime (463849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463849) by changing a digit.

463840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1969 + ... + 2191.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁴⁶³⁸⁴⁰ is an apocalyptic number.

463840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

463840 is an abundant number, since it is smaller than the sum of its proper divisors (721568).

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

463840 is a wasteful number, since it uses less digits than its factorization.

463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 463840 is about 681.0580004669. The cubic root of 463840 is about 77.4086332225.

The spelling of 463840 in words is "four hundred sixty-three thousand, eight hundred forty".