438216000 has 336 divisors, whose sum is σ = 1573865280. Its totient is φ = 107136000.

The previous prime is 438215933. The next prime is 438216001. The reversal of 438216000 is 612834.

438216000 = T₁₆₅ + T₁₆₆ + ... + T₁₃₈₀.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438216001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14135985 + ... + 14136015.

Almost surely, 2^438216000 is an apocalyptic number.

438216000 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 438216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786932640).

438216000 is an abundant number, since it is smaller than the sum of its proper divisors (1135649280).

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

438216000 is a wasteful number, since it uses less digits than its factorization.

438216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 438216000 is about 20933.6093400063. The cubic root of 438216000 is about 759.5611501507.

Adding to 438216000 its reverse (612834), we get a palindrome (438828834).

The spelling of 438216000 in words is "four hundred thirty-eight million, two hundred sixteen thousand".