43281920 has 160 divisors (see below), whose sum is σ = 119322720. Its totient is φ = 14909440.

The previous prime is 43281899. The next prime is 43281941. The reversal of 43281920 is 2918234.

It is an interprime number because it is at equal distance from previous prime (43281899) and next prime (43281941).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816614 + ... + 816666.

It is an arithmetic number, because the mean of its divisors is an integer number (745767).

Almost surely, 2^43281920 is an apocalyptic number.

43281920 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 43281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59661360).

43281920 is an abundant number, since it is smaller than the sum of its proper divisors (76040800).

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

43281920 is a wasteful number, since it uses less digits than its factorization.

43281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 43281920 is about 6578.8996040371. The cubic root of 43281920 is about 351.1037806988.

The spelling of 43281920 in words is "forty-three million, two hundred eighty-one thousand, nine hundred twenty".