438976000 has 160 divisors (see below), whose sum is σ = 1155417120. Its totient is φ = 166348800.

The previous prime is 438975983. The next prime is 438976003. The reversal of 438976000 is 679834.

The cubic root of 438976000 is 760.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438976003) 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 15 ways as a sum of consecutive naturals, for example, 23103991 + ... + 23104009.

It is an arithmetic number, because the mean of its divisors is an integer number (7221357).

Almost surely, 2^438976000 is an apocalyptic number.

438976000 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 438976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577708560).

438976000 is an abundant number, since it is smaller than the sum of its proper divisors (716441120).

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

438976000 is an frugal number, since it uses more digits than its factorization.

438976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 438976000 is about 20951.7541031771.

The spelling of 438976000 in words is "four hundred thirty-eight million, nine hundred seventy-six thousand".