43861440 has 224 divisors, whose sum is σ = 163275264. Its totient is φ = 9768960.

The previous prime is 43861439. The next prime is 43861451. The reversal of 43861440 is 4416834.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×43861440³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 43861398 and 43861407.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 409867 + ... + 409973.

Almost surely, 2^43861440 is an apocalyptic number.

43861440 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 43861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81637632).

43861440 is an abundant number, since it is smaller than the sum of its proper divisors (119413824).

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

43861440 is a wasteful number, since it uses less digits than its factorization.

43861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 43861440 is about 6622.7969922081. The cubic root of 43861440 is about 352.6638642594.

The spelling of 43861440 in words is "forty-three million, eight hundred sixty-one thousand, four hundred forty".