463488 has 64 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 143360.

The previous prime is 463483. The next prime is 463501. The reversal of 463488 is 884364.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×463488² = 429642252288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (463483) by changing a digit.

463488 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, 6493 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2⁴⁶³⁴⁸⁸ is an apocalyptic number.

463488 is a gapful number since it is divisible by the number (48) 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 463488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960).

463488 is an abundant number, since it is smaller than the sum of its proper divisors (858432).

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

463488 is a wasteful number, since it uses less digits than its factorization.

463488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

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

The square root of 463488 is about 680.7995299646. The cubic root of 463488 is about 77.3890469180.

The spelling of 463488 in words is "four hundred sixty-three thousand, four hundred eighty-eight".