46830 has 32 divisors (see below), whose sum is σ = 129024. Its totient is φ = 10656.

The previous prime is 46829. The next prime is 46831. The reversal of 46830 is 3864.

It is an interprime number because it is at equal distance from previous prime (46829) and next prime (46831).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 8.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 46797 and 46806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁴⁶⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

46830 is an abundant number, since it is smaller than the sum of its proper divisors (82194).

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

46830 is a wasteful number, since it uses less digits than its factorization.

46830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46830 is about 216.4024029441. The cubic root of 46830 is about 36.0446975670.

The spelling of 46830 in words is "forty-six thousand, eight hundred thirty".