46530 has 48 divisors (see below), whose sum is σ = 134784. Its totient is φ = 11040.

The previous prime is 46523. The next prime is 46549. The reversal of 46530 is 3564.

It is a happy number.

46530 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46530.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2⁴⁶⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392).

46530 is an abundant number, since it is smaller than the sum of its proper divisors (88254).

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

46530 is a wasteful number, since it uses less digits than its factorization.

46530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 46530 is about 215.7081361470. The cubic root of 46530 is about 35.9675633754.

It can be divided in two parts, 46 and 530, that added together give a square (576 = 24²).

The spelling of 46530 in words is "forty-six thousand, five hundred thirty".