46880 has 24 divisors (see below), whose sum is σ = 111132. Its totient is φ = 18688.

The previous prime is 46877. The next prime is 46889. The reversal of 46880 is 8864.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 1936 = 212^2 + 44^2 .

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 306.

2⁴⁶⁸⁸⁰ is an apocalyptic number.

46880 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 46880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55566).

46880 is an abundant number, since it is smaller than the sum of its proper divisors (64252).

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

46880 is a wasteful number, since it uses less digits than its factorization.

46880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 46880 is about 216.5178976436. The cubic root of 46880 is about 36.0575212117.

The spelling of 46880 in words is "forty-six thousand, eight hundred eighty".