46891800 has 144 divisors (see below), whose sum is σ = 159588000. Its totient is φ = 12337920.

The previous prime is 46891799. The next prime is 46891807. The reversal of 46891800 is 819864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46891807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 196081 + ... + 196319.

It is an arithmetic number, because the mean of its divisors is an integer number (1108250).

Almost surely, 2^46891800 is an apocalyptic number.

46891800 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 46891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794000).

46891800 is an abundant number, since it is smaller than the sum of its proper divisors (112696200).

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

46891800 is a wasteful number, since it uses less digits than its factorization.

46891800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 46891800 is about 6847.7587574330. The cubic root of 46891800 is about 360.6054626190.

The spelling of 46891800 in words is "forty-six million, eight hundred ninety-one thousand, eight hundred".