438651216 has 120 divisors (see below), whose sum is σ = 1325450880. Its totient is φ = 135007488.

The previous prime is 438651167. The next prime is 438651217. The reversal of 438651216 is 612156834.

It is a happy number.

438651216 is a `hidden beast` number, since 438 + 6 + 5 + 1 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438651217) 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 23 ways as a sum of consecutive naturals, for example, 93765 + ... + 98331.

It is an arithmetic number, because the mean of its divisors is an integer number (11045424).

Almost surely, 2^438651216 is an apocalyptic number.

438651216 is a gapful number since it is divisible by the number (46) 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 438651216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662725440).

438651216 is an abundant number, since it is smaller than the sum of its proper divisors (886799664).

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

438651216 is a wasteful number, since it uses less digits than its factorization.

438651216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4624 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 438651216 is about 20944.0019098548. The cubic root of 438651216 is about 759.8125206995.

The spelling of 438651216 in words is "four hundred thirty-eight million, six hundred fifty-one thousand, two hundred sixteen".