438300072 has 192 divisors, whose sum is σ = 1453670400. Its totient is φ = 121072320.

The previous prime is 438300061. The next prime is 438300077. The reversal of 438300072 is 270003834.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438300077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421329 + ... + 422367.

It is an arithmetic number, because the mean of its divisors is an integer number (7571200).

Almost surely, 2^438300072 is an apocalyptic number.

438300072 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 438300072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726835200).

438300072 is an abundant number, since it is smaller than the sum of its proper divisors (1015370328).

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

438300072 is a wasteful number, since it uses less digits than its factorization.

438300072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 438300072 is about 20935.6173063992. The cubic root of 438300072 is about 759.6097211307.

The spelling of 438300072 in words is "four hundred thirty-eight million, three hundred thousand, seventy-two".