438672000 has 512 divisors, whose sum is σ = 1693036800. Its totient is φ = 99532800.

The previous prime is 438671999. The next prime is 438672001. The reversal of 438672000 is 276834.

It is an interprime number because it is at equal distance from previous prime (438671999) and next prime (438672001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (438672001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11855982 + ... + 11856018.

Almost surely, 2^438672000 is an apocalyptic number.

438672000 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 438672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400).

438672000 is an abundant number, since it is smaller than the sum of its proper divisors (1254364800).

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

438672000 is a wasteful number, since it uses less digits than its factorization.

438672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 438672000 is about 20944.4980842225. The cubic root of 438672000 is about 759.8245208896.

The spelling of 438672000 in words is "four hundred thirty-eight million, six hundred seventy-two thousand".