46512 has 60 divisors (see below), whose sum is σ = 145080. Its totient is φ = 13824.

The previous prime is 46511. The next prime is 46523. The reversal of 46512 is 21564.

It is a happy number.

46512 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 super-2 number, since 2×46512² = 4326732288, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2439 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

2⁴⁶⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

46512 is an abundant number, since it is smaller than the sum of its proper divisors (98568).

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

46512 is a wasteful number, since it uses less digits than its factorization.

46512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 41 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 46512 is about 215.6664090673. Note that the first 3 decimals coincide. The cubic root of 46512 is about 35.9629247935.

The spelling of 46512 in words is "forty-six thousand, five hundred twelve".