46720 has 32 divisors (see below), whose sum is σ = 113220. Its totient is φ = 18432.

The previous prime is 46703. The next prime is 46723. The reversal of 46720 is 2764.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 64 = 216^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (46723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604 + ... + 676.

2⁴⁶⁷²⁰ is an apocalyptic number.

46720 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 46720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56610).

46720 is an abundant number, since it is smaller than the sum of its proper divisors (66500).

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

46720 is an equidigital number, since it uses as much as digits as its factorization.

46720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 46720 is about 216.1480973777. The cubic root of 46720 is about 36.0164533844.

Subtracting from 46720 its reverse (2764), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 4 and 6720, that added together give a square (6724 = 82²).

The spelling of 46720 in words is "forty-six thousand, seven hundred twenty".