437940 has 48 divisors (see below), whose sum is σ = 1364160. Its totient is φ = 116640.

The previous prime is 437923. The next prime is 437947. The reversal of 437940 is 49734.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437947) by changing a digit.

437940 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 135 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (28420).

2⁴³⁷⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 437940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682080).

437940 is an abundant number, since it is smaller than the sum of its proper divisors (926220).

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

437940 is a wasteful number, since it uses less digits than its factorization.

437940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 437940 is about 661.7703529171. The cubic root of 437940 is about 75.9401652776.

The spelling of 437940 in words is "four hundred thirty-seven thousand, nine hundred forty".