46320 has 40 divisors (see below), whose sum is σ = 144336. Its totient is φ = 12288.

The previous prime is 46309. The next prime is 46327. The reversal of 46320 is 2364.

46320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 46320.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46320.

It is not an unprimeable number, because it can be changed into a prime (46327) by changing a digit.

46320 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, 144 + ... + 336.

2⁴⁶³²⁰ is an apocalyptic number.

46320 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 46320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72168).

46320 is an abundant number, since it is smaller than the sum of its proper divisors (98016).

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

46320 is a wasteful number, since it uses less digits than its factorization.

46320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 46320 is about 215.2208168370. The cubic root of 46320 is about 35.9133719581.

Adding to 46320 its product of nonzero digits (144), we get a palindrome (46464).

Adding to 46320 its reverse (2364), we get a palindrome (48684).

Subtracting from 46320 its reverse (2364), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 46320 in words is "forty-six thousand, three hundred twenty".