438891264 has 288 divisors, whose sum is σ = 1522698240. Its totient is φ = 122093568.

The previous prime is 438891259. The next prime is 438891269. The reversal of 438891264 is 462198834.

It is a happy number.

438891264 is a `hidden beast` number, since 4 + 388 + 9 + 1 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (438891259) and next prime (438891269).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (438891269) 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 31 ways as a sum of consecutive naturals, for example, 2273952 + ... + 2274144.

Almost surely, 2^438891264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761349120).

438891264 is an abundant number, since it is smaller than the sum of its proper divisors (1083806976).

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

438891264 is a wasteful number, since it uses less digits than its factorization.

438891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 438891264 is about 20949.7318359926. The cubic root of 438891264 is about 759.9510956528.

The spelling of 438891264 in words is "four hundred thirty-eight million, eight hundred ninety-one thousand, two hundred sixty-four".