438867000 has 576 divisors, whose sum is σ = 1812545280. Its totient is φ = 95040000.

The previous prime is 438866999. The next prime is 438867017. The reversal of 438867000 is 768834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable 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 143 ways as a sum of consecutive naturals, for example, 14156985 + ... + 14157015.

It is an arithmetic number, because the mean of its divisors is an integer number (3146780).

Almost surely, 2^438867000 is an apocalyptic number.

438867000 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 438867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906272640).

438867000 is an abundant number, since it is smaller than the sum of its proper divisors (1373678280).

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

438867000 is a wasteful number, since it uses less digits than its factorization.

438867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 438867000 is about 20949.1527274971. The cubic root of 438867000 is about 759.9370908224.

The spelling of 438867000 in words is "four hundred thirty-eight million, eight hundred sixty-seven thousand".