43845840 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 11441664.

The previous prime is 43845821. The next prime is 43845847. The reversal of 43845840 is 4854834.

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

It is a junction number, because it is equal to n+sod(n) for n = 43845795 and 43845804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43845847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114289 + ... + 114671.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^43845840 is an apocalyptic number.

43845840 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 43845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

43845840 is an abundant number, since it is smaller than the sum of its proper divisors (110430000).

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

43845840 is a wasteful number, since it uses less digits than its factorization.

43845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 43845840 is about 6621.6191373410. The cubic root of 43845840 is about 352.6220491811.

The spelling of 43845840 in words is "forty-three million, eight hundred forty-five thousand, eight hundred forty".