438396000 has 384 divisors, whose sum is σ = 1743565824. Its totient is φ = 94003200.

The previous prime is 438395977. The next prime is 438396011. The reversal of 438396000 is 693834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427847 + ... + 1428153.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^438396000 is an apocalyptic number.

438396000 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 438396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

438396000 is an abundant number, since it is smaller than the sum of its proper divisors (1305169824).

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

438396000 is a wasteful number, since it uses less digits than its factorization.

438396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 438396000 is about 20937.9082049760. The cubic root of 438396000 is about 759.6651341005.

The spelling of 438396000 in words is "four hundred thirty-eight million, three hundred ninety-six thousand".