438158160 has 280 divisors, whose sum is σ = 1668669984. Its totient is φ = 106064640.

The previous prime is 438158143. The next prime is 438158173. The reversal of 438158160 is 61851834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 641179 + ... + 641861.

Almost surely, 2^438158160 is an apocalyptic number.

438158160 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 438158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834334992).

438158160 is an abundant number, since it is smaller than the sum of its proper divisors (1230511824).

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

438158160 is a wasteful number, since it uses less digits than its factorization.

438158160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 438158160 is about 20932.2277839699. The cubic root of 438158160 is about 759.5277305966.

The spelling of 438158160 in words is "four hundred thirty-eight million, one hundred fifty-eight thousand, one hundred sixty".