46200 has 96 divisors (see below), whose sum is σ = 178560. Its totient is φ = 9600.

The previous prime is 46199. The next prime is 46219. The reversal of 46200 is 264.

46200 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-3 number, since 3×46200³ = 295833384000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a congruent number.

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, 4195 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2⁴⁶²⁰⁰ is an apocalyptic number.

46200 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 46200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

46200 is an abundant number, since it is smaller than the sum of its proper divisors (132360).

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

46200 is a wasteful number, since it uses less digits than its factorization.

46200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 46200 is about 214.9418526020. The cubic root of 46200 is about 35.8823318631.

Adding to 46200 its reverse (264), we get a palindrome (46464).

The spelling of 46200 in words is "forty-six thousand, two hundred".