46827000 has 288 divisors, whose sum is σ = 178017840. Its totient is φ = 11088000.

The previous prime is 46826999. The next prime is 46827007. The reversal of 46827000 is 72864.

46827000 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 (46827007) 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 71 ways as a sum of consecutive naturals, for example, 1088979 + ... + 1089021.

Almost surely, 2^46827000 is an apocalyptic number.

46827000 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 46827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89008920).

46827000 is an abundant number, since it is smaller than the sum of its proper divisors (131190840).

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

46827000 is a wasteful number, since it uses less digits than its factorization.

46827000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 46827000 is about 6843.0256465981. The cubic root of 46827000 is about 360.4392785810.

Adding to 46827000 its reverse (72864), we get a palindrome (46899864).

The spelling of 46827000 in words is "forty-six million, eight hundred twenty-seven thousand".