43781920 has 192 divisors, whose sum is σ = 132765696. Its totient is φ = 13271040.

The previous prime is 43781917. The next prime is 43781923. The reversal of 43781920 is 2918734.

43781920 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (43781917) and next prime (43781923).

It is not an unprimeable number, because it can be changed into a prime (43781923) 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, 451312 + ... + 451408.

It is an arithmetic number, because the mean of its divisors is an integer number (691488).

Almost surely, 2^43781920 is an apocalyptic number.

43781920 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 43781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66382848).

43781920 is an abundant number, since it is smaller than the sum of its proper divisors (88983776).

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

43781920 is a wasteful number, since it uses less digits than its factorization.

43781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 43781920 is about 6616.7907629001. The cubic root of 43781920 is about 352.4506109232.

The spelling of 43781920 in words is "forty-three million, seven hundred eighty-one thousand, nine hundred twenty".