46385000 has 40 divisors (see below), whose sum is σ = 108691770. Its totient is φ = 18552000.

The previous prime is 46384967. The next prime is 46385011. The reversal of 46385000 is 58364.

46385000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3587236 + 42797764 = 1894^2 + 6542^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 5.

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 9 ways as a sum of consecutive naturals, for example, 362 + ... + 9638.

Almost surely, 2^46385000 is an apocalyptic number.

46385000 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 46385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54345885).

46385000 is an abundant number, since it is smaller than the sum of its proper divisors (62306770).

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

46385000 is an equidigital number, since it uses as much as digits as its factorization.

46385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 46385000 is about 6810.6534194598. The cubic root of 46385000 is about 359.3016296341.

The spelling of 46385000 in words is "forty-six million, three hundred eighty-five thousand".