438246008256 has 224 divisors, whose sum is σ = 1393357160448. Its totient is φ = 118853729280.

The previous prime is 438246008243. The next prime is 438246008297. The reversal of 438246008256 is 652800642834.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3995361 + ... + 4103583.

Almost surely, 2^438246008256 is an apocalyptic number.

438246008256 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 438246008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696678580224).

438246008256 is an abundant number, since it is smaller than the sum of its proper divisors (955111152192).

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

438246008256 is a wasteful number, since it uses less digits than its factorization.

438246008256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108399 (or 108389 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 438246008256 in words is "four hundred thirty-eight billion, two hundred forty-six million, eight thousand, two hundred fifty-six".