438980256 has 576 divisors, whose sum is σ = 1689206400. Its totient is φ = 109486080.

The previous prime is 438980207. The next prime is 438980257. The reversal of 438980256 is 652089834.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438980257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23104215 + ... + 23104233.

It is an arithmetic number, because the mean of its divisors is an integer number (2932650).

Almost surely, 2^438980256 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 438980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844603200).

438980256 is an abundant number, since it is smaller than the sum of its proper divisors (1250226144).

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

438980256 is a wasteful number, since it uses less digits than its factorization.

438980256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 438980256 is about 20951.8556696060. The cubic root of 438980256 is about 760.0024561324.

The spelling of 438980256 in words is "four hundred thirty-eight million, nine hundred eighty thousand, two hundred fifty-six".