437948 has 12 divisors (see below), whose sum is σ = 875952. Its totient is φ = 187680.

The previous prime is 437947. The next prime is 437953. The reversal of 437948 is 849734.

437948 is an admirable number.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7793 + ... + 7848.

It is an arithmetic number, because the mean of its divisors is an integer number (72996).

2⁴³⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

437948 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.

437948 is a wasteful number, since it uses less digits than its factorization.

437948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15652 (or 15650 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 437948 is about 661.7763972823. The cubic root of 437948 is about 75.9406276831.

The spelling of 437948 in words is "four hundred thirty-seven thousand, nine hundred forty-eight".