442168160 has 120 divisors (see below), whose sum is σ = 1219712256. Its totient is φ = 151468800.

The previous prime is 442168043. The next prime is 442168189. The reversal of 442168160 is 61861244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383585 + ... + 384735.

Almost surely, 2^442168160 is an apocalyptic number.

442168160 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 442168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609856128).

442168160 is an abundant number, since it is smaller than the sum of its proper divisors (777544096).

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

442168160 is an equidigital number, since it uses as much as digits as its factorization.

442168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 442168160 is about 21027.7949390800. The cubic root of 442168160 is about 761.8377501678.

The spelling of 442168160 in words is "four hundred forty-two million, one hundred sixty-eight thousand, one hundred sixty".