438668160 has 256 divisors, whose sum is σ = 1616855040. Its totient is φ = 99090432.

The previous prime is 438668129. The next prime is 438668171. The reversal of 438668160 is 61866834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706752 + ... + 1707008.

It is an arithmetic number, because the mean of its divisors is an integer number (6315840).

Almost surely, 2^438668160 is an apocalyptic number.

438668160 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 438668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808427520).

438668160 is an abundant number, since it is smaller than the sum of its proper divisors (1178186880).

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

438668160 is a wasteful number, since it uses less digits than its factorization.

438668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 438668160 is about 20944.4064131691. The cubic root of 438668160 is about 759.8223037930.

The spelling of 438668160 in words is "four hundred thirty-eight million, six hundred sixty-eight thousand, one hundred sixty".