438000960 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 109914112.

The previous prime is 438000947. The next prime is 438000961. The reversal of 438000960 is 69000834.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1832521 + ... + 1832759.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^438000960 is an apocalyptic number.

438000960 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 438000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

438000960 is an abundant number, since it is smaller than the sum of its proper divisors (1036743360).

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

438000960 is a wasteful number, since it uses less digits than its factorization.

438000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 438000960 is about 20928.4724717309. The cubic root of 438000960 is about 759.4368866564.

The spelling of 438000960 in words is "four hundred thirty-eight million, nine hundred sixty", and thus it is an aban number.