46480 has 40 divisors (see below), whose sum is σ = 124992. Its totient is φ = 15744.

The previous prime is 46477. The next prime is 46489. The reversal of 46480 is 8464.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (46489) 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 7 ways as a sum of consecutive naturals, for example, 519 + ... + 601.

2⁴⁶⁴⁸⁰ is an apocalyptic number.

46480 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 46480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

46480 is an abundant number, since it is smaller than the sum of its proper divisors (78512).

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

46480 is a wasteful number, since it uses less digits than its factorization.

46480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 46480 is about 215.5922076514. The cubic root of 46480 is about 35.9546754700.

The spelling of 46480 in words is "forty-six thousand, four hundred eighty".