438213600 has 324 divisors, whose sum is σ = 1701875448. Its totient is φ = 106022400.

The previous prime is 438213583. The next prime is 438213667. The reversal of 438213600 is 6312834.

It is a happy number.

438213600 is a `hidden beast` number, since 4 + 38 + 21 + 3 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870949 + ... + 871451.

It is an arithmetic number, because the mean of its divisors is an integer number (5252702).

Almost surely, 2^438213600 is an apocalyptic number.

438213600 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 438213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850937724).

438213600 is an abundant number, since it is smaller than the sum of its proper divisors (1263661848).

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

438213600 is a wasteful number, since it uses less digits than its factorization.

438213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 438213600 is about 20933.5520158429. The cubic root of 438213600 is about 759.5597635057.

The spelling of 438213600 in words is "four hundred thirty-eight million, two hundred thirteen thousand, six hundred".