46440 has 64 divisors (see below), whose sum is σ = 158400. Its totient is φ = 12096.

The previous prime is 46439. The next prime is 46441. The reversal of 46440 is 4464.

46440 is nontrivially palindromic in base 7.

46440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46439) and next prime (46441).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 15.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (46441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

2⁴⁶⁴⁴⁰ is an apocalyptic number.

46440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 215×216.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

46440 is an abundant number, since it is smaller than the sum of its proper divisors (111960).

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

46440 is a wasteful number, since it uses less digits than its factorization.

46440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 46440 is about 215.4994199528. The cubic root of 46440 is about 35.9443584894.

Subtracting from 46440 its product of nonzero digits (384), we obtain a triangular number (46056 = T₃₀₃).

The spelling of 46440 in words is "forty-six thousand, four hundred forty".