439400 has 48 divisors (see below), whose sum is σ = 1106700. Its totient is φ = 162240.

The previous prime is 439381. The next prime is 439409. The reversal of 439400 is 4934.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 47524 + 391876 = 218^2 + 626^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (439409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33794 + ... + 33806.

2⁴³⁹⁴⁰⁰ is an apocalyptic number.

439400 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 439400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553350).

439400 is an abundant number, since it is smaller than the sum of its proper divisors (667300).

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

439400 is a wasteful number, since it uses less digits than its factorization.

439400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 439400 is about 662.8725367671. The cubic root of 439400 is about 76.0244611935.

The spelling of 439400 in words is "four hundred thirty-nine thousand, four hundred".