438201120 has 288 divisors, whose sum is σ = 1660248576. Its totient is φ = 96768000.

The previous prime is 438201091. The next prime is 438201133. The reversal of 438201120 is 21102834.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728820 + ... + 729420.

It is an arithmetic number, because the mean of its divisors is an integer number (5764752).

Almost surely, 2^438201120 is an apocalyptic number.

438201120 is a gapful number since it is divisible by the number (40) 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 438201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830124288).

438201120 is an abundant number, since it is smaller than the sum of its proper divisors (1222047456).

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

438201120 is a wasteful number, since it uses less digits than its factorization.

438201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 438201120 is about 20933.2539276626. The cubic root of 438201120 is about 759.5525528700.

Adding to 438201120 its reverse (21102834), we get a palindrome (459303954).

The spelling of 438201120 in words is "four hundred thirty-eight million, two hundred one thousand, one hundred twenty".