43849800 has 144 divisors (see below), whose sum is σ = 156033540. Its totient is φ = 10997760.

The previous prime is 43849747. The next prime is 43849801. The reversal of 43849800 is 894834.

It can be written as a sum of positive squares in 6 ways, for example, as 29877156 + 13972644 = 5466^2 + 3738^2 .

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

It is not an unprimeable number, because it can be changed into a prime (43849801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29884 + ... + 31316.

Almost surely, 2^43849800 is an apocalyptic number.

43849800 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 43849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78016770).

43849800 is an abundant number, since it is smaller than the sum of its proper divisors (112183740).

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

43849800 is a wasteful number, since it uses less digits than its factorization.

43849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 43849800 is about 6621.9181511100. The cubic root of 43849800 is about 352.6326647170.

The spelling of 43849800 in words is "forty-three million, eight hundred forty-nine thousand, eight hundred".