463848 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 120000.

The previous prime is 463831. The next prime is 463849. The reversal of 463848 is 848364.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463848.

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

463848 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 15 ways as a sum of consecutive naturals, for example, 1723 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴⁶³⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

463848 is an abundant number, since it is smaller than the sum of its proper divisors (987672).

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

463848 is a wasteful number, since it uses less digits than its factorization.

463848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 463848 is about 681.0638736565. The cubic root of 463848 is about 77.4090782506.

The spelling of 463848 in words is "four hundred sixty-three thousand, eight hundred forty-eight".