46820 has 12 divisors (see below), whose sum is σ = 98364. Its totient is φ = 18720.

The previous prime is 46819. The next prime is 46829. The reversal of 46820 is 2864.

46820 = T₁₅₁ + T₁₅₂ + ... + T₁₅₄.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 23104 = 154^2 + 152^2 .

It is a super-2 number, since 2×46820² = 4384224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2341 = 46820 / (4 + 6 + 8 + 2 + 0).

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 46792 and 46801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46820.

It is not an unprimeable number, because it can be changed into a prime (46829) 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, 1151 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (8197).

2⁴⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

46820 is an abundant number, since it is smaller than the sum of its proper divisors (51544).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49182).

46820 is a wasteful number, since it uses less digits than its factorization.

46820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 46820 is about 216.3792966067. The cubic root of 46820 is about 36.0421317428.

Subtracting from 46820 its reverse (2864), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 46820 in words is "forty-six thousand, eight hundred twenty".