438748621272 has 192 divisors, whose sum is σ = 1325985206400. Its totient is φ = 134357408640.

The previous prime is 438748621219. The next prime is 438748621277. The reversal of 438748621272 is 272126847834.

438748621272 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 4 + 8 + 621 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438748621277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7673863 + ... + 7730825.

It is an arithmetic number, because the mean of its divisors is an integer number (6906172950).

Almost surely, 2^438748621272 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 438748621272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662992603200).

438748621272 is an abundant number, since it is smaller than the sum of its proper divisors (887236585128).

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

438748621272 is a wasteful number, since it uses less digits than its factorization.

438748621272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57215 (or 57192 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 438748621272 in words is "four hundred thirty-eight billion, seven hundred forty-eight million, six hundred twenty-one thousand, two hundred seventy-two".