437988 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 129024.

The previous prime is 437977. The next prime is 438001. The reversal of 437988 is 889734.

437988 = T₂ + T₃ + ... + T₁₃₇.

437988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 437988.

It is an unprimeable number.

437988 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, 3820 + ... + 3932.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴³⁷⁹⁸⁸ 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 437988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

437988 is an abundant number, since it is smaller than the sum of its proper divisors (711132).

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

437988 is a wasteful number, since it uses less digits than its factorization.

437988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 437988 is about 661.8066182806. The cubic root of 437988 is about 75.9429396263.

The spelling of 437988 in words is "four hundred thirty-seven thousand, nine hundred eighty-eight".