438838560972 has 576 divisors, whose sum is σ = 1392269598720. Its totient is φ = 118244966400.

The previous prime is 438838560943. The next prime is 438838560977. The reversal of 438838560972 is 279065838834.

438838560972 is a `hidden beast` number, since 4 + 38 + 8 + 38 + 560 + 9 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (438838560977) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1820906772 + ... + 1820907012.

It is an arithmetic number, because the mean of its divisors is an integer number (2417134720).

Almost surely, 2^438838560972 is an apocalyptic number.

438838560972 is a gapful number since it is divisible by the number (42) 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 438838560972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696134799360).

438838560972 is an abundant number, since it is smaller than the sum of its proper divisors (953431037748).

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

438838560972 is a wasteful number, since it uses less digits than its factorization.

438838560972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 438838560972 in words is "four hundred thirty-eight billion, eight hundred thirty-eight million, five hundred sixty thousand, nine hundred seventy-two".