46189800 has 144 divisors (see below), whose sum is σ = 157847040. Its totient is φ = 12101760.

The previous prime is 46189777. The next prime is 46189811. The reversal of 46189800 is 898164.

It is a happy number.

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

It is an unprimeable number.

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, 120409 + ... + 120791.

It is an arithmetic number, because the mean of its divisors is an integer number (1096160).

Almost surely, 2^46189800 is an apocalyptic number.

46189800 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 46189800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

46189800 is an abundant number, since it is smaller than the sum of its proper divisors (111657240).

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

46189800 is a wasteful number, since it uses less digits than its factorization.

With its successor (46189801) it forms an eRAP, since the sums of their prime factors are consecutive (472 and 473).

46189800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

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

The square root of 46189800 is about 6796.3078211629. The cubic root of 46189800 is about 358.7969097768.

The spelling of 46189800 in words is "forty-six million, one hundred eighty-nine thousand, eight hundred".