438689000 has 64 divisors (see below), whose sum is σ = 1032305040. Its totient is φ = 174489600.

The previous prime is 438688969. The next prime is 438689011. The reversal of 438689000 is 986834.

It can be written as a sum of positive squares in 8 ways, for example, as 30891364 + 407797636 = 5558^2 + 20194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191864 + ... + 194136.

Almost surely, 2^438689000 is an apocalyptic number.

438689000 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 438689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516152520).

438689000 is an abundant number, since it is smaller than the sum of its proper divisors (593616040).

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

438689000 is a wasteful number, since it uses less digits than its factorization.

438689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 438689000 is about 20944.9039147951. The cubic root of 438689000 is about 759.8343360059.

The spelling of 438689000 in words is "four hundred thirty-eight million, six hundred eighty-nine thousand".