46488 has 32 divisors (see below), whose sum is σ = 126000. Its totient is φ = 14208.

The previous prime is 46477. The next prime is 46489. The reversal of 46488 is 88464.

46488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46488² = 4322268288, which contains 22 as substring.

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

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46489) by changing a digit.

46488 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, 238 + ... + 386.

2⁴⁶⁴⁸⁸ 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 46488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000).

46488 is an abundant number, since it is smaller than the sum of its proper divisors (79512).

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

46488 is a wasteful number, since it uses less digits than its factorization.

46488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 46488 is about 215.6107603994. The cubic root of 46488 is about 35.9567381557.

It can be divided in two parts, 4648 and 8, that added together give a triangular number (4656 = T₉₆).

The spelling of 46488 in words is "forty-six thousand, four hundred eighty-eight".