46082200 has 48 divisors (see below), whose sum is σ = 108229680. Its totient is φ = 18245760.

The previous prime is 46082171. The next prime is 46082207. The reversal of 46082200 is 228064.

46082200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46082207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19482 + ... + 21718.

It is an arithmetic number, because the mean of its divisors is an integer number (2254785).

Almost surely, 2^46082200 is an apocalyptic number.

46082200 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 46082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54114840).

46082200 is an abundant number, since it is smaller than the sum of its proper divisors (62147480).

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

46082200 is a wasteful number, since it uses less digits than its factorization.

46082200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 46082200 is about 6788.3871427608. The cubic root of 46082200 is about 358.5180851259.

It can be divided in two parts, 4 and 6082200, that multiplied together give a triangular number (24328800 = T₆₉₇₅).

The spelling of 46082200 in words is "forty-six million, eighty-two thousand, two hundred".