463788 has 36 divisors (see below), whose sum is σ = 1263808. Its totient is φ = 142560.

The previous prime is 463787. The next prime is 463807. The reversal of 463788 is 887364.

463788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (463781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 963.

2⁴⁶³⁷⁸⁸ 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 463788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631904).

463788 is an abundant number, since it is smaller than the sum of its proper divisors (800020).

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

463788 is a wasteful number, since it uses less digits than its factorization.

463788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1009 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 463788 is about 681.0198235000. The cubic root of 463788 is about 77.4057404151.

The spelling of 463788 in words is "four hundred sixty-three thousand, seven hundred eighty-eight".