438379776 has 198 divisors, whose sum is σ = 1357824090. Its totient is φ = 141087744.

The previous prime is 438379741. The next prime is 438379787. The reversal of 438379776 is 677973834.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 377913600 + 60466176 = 19440^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 15116530 + ... + 15116558.

Almost surely, 2^438379776 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 438379776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678912045).

438379776 is an abundant number, since it is smaller than the sum of its proper divisors (919444314).

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

438379776 is an frugal number, since it uses more digits than its factorization.

438379776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 438379776 is about 20937.5207701390. The cubic root of 438379776 is about 759.6557628477.

The spelling of 438379776 in words is "four hundred thirty-eight million, three hundred seventy-nine thousand, seven hundred seventy-six".