43414920 has 128 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 11370240.

The previous prime is 43414919. The next prime is 43414927. The reversal of 43414920 is 2941434.

It is a Cunningham number, because it is equal to 6589²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43414927) 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, 65551 + ... + 66209.

It is an arithmetic number, because the mean of its divisors is an integer number (1150875).

Almost surely, 2^43414920 is an apocalyptic number.

43414920 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 43414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

43414920 is an abundant number, since it is smaller than the sum of its proper divisors (103897080).

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

43414920 is a wasteful number, since it uses less digits than its factorization.

43414920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 43414920 is about 6588.9999241160. Note that the first 4 decimals coincide. The cubic root of 43414920 is about 351.4630458234.

It can be divided in two parts, 4341 and 4920, that added together give a cube (9261 = 21³).

The spelling of 43414920 in words is "forty-three million, four hundred fourteen thousand, nine hundred twenty".