437968 has 20 divisors (see below), whose sum is σ = 876928. Its totient is φ = 211680.

The previous prime is 437959. The next prime is 437977. The reversal of 437968 is 869734.

It is an interprime number because it is at equal distance from previous prime (437959) and next prime (437977).

437968 is an admirable number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 937.

2⁴³⁷⁹⁶⁸ 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 437968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438464).

437968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

437968 is a wasteful number, since it uses less digits than its factorization.

437968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 437968 is about 661.7915079540. The cubic root of 437968 is about 75.9417836723.

The spelling of 437968 in words is "four hundred thirty-seven thousand, nine hundred sixty-eight".