46231200 has 108 divisors (see below), whose sum is σ = 163048158. Its totient is φ = 12326400.

The previous prime is 46231189. The next prime is 46231247. The reversal of 46231200 is 213264.

It is a happy number.

46231200 is a `hidden beast` number, since 462 + 3 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29289744 + 16941456 = 5412^2 + 4116^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3990 + ... + 10410.

Almost surely, 2^46231200 is an apocalyptic number.

46231200 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 46231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81524079).

46231200 is an abundant number, since it is smaller than the sum of its proper divisors (116816958).

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

46231200 is a wasteful number, since it uses less digits than its factorization.

46231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46231200 is about 6799.3529103879. The cubic root of 46231200 is about 358.9040745356.

Adding to 46231200 its reverse (213264), we get a palindrome (46444464).

The spelling of 46231200 in words is "forty-six million, two hundred thirty-one thousand, two hundred".