46854600 has 96 divisors (see below), whose sum is σ = 156448320. Its totient is φ = 11531520.

The previous prime is 46854593. The next prime is 46854623. The reversal of 46854600 is 645864.

It is a happy number.

46854600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4797 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (1629670).

Almost surely, 2^46854600 is an apocalyptic number.

46854600 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 46854600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78224160).

46854600 is an abundant number, since it is smaller than the sum of its proper divisors (109593720).

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

46854600 is a wasteful number, since it uses less digits than its factorization.

46854600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 46854600 is about 6845.0420013321. The cubic root of 46854600 is about 360.5100794028.

The spelling of 46854600 in words is "forty-six million, eight hundred fifty-four thousand, six hundred".