46873000 has 64 divisors (see below), whose sum is σ = 115502400. Its totient is φ = 17755200.

The previous prime is 46872997. The next prime is 46873009. The reversal of 46873000 is 37864.

46873000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46873000.

It is not an unprimeable number, because it can be changed into a prime (46873009) 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 15 ways as a sum of consecutive naturals, for example, 17767 + ... + 20233.

It is an arithmetic number, because the mean of its divisors is an integer number (1804725).

Almost surely, 2^46873000 is an apocalyptic number.

46873000 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 46873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57751200).

46873000 is an abundant number, since it is smaller than the sum of its proper divisors (68629400).

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

46873000 is a wasteful number, since it uses less digits than its factorization.

46873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 46873000 is about 6846.3859079079. The cubic root of 46873000 is about 360.5572645054.

The spelling of 46873000 in words is "forty-six million, eight hundred seventy-three thousand".