442364160 has 216 divisors, whose sum is σ = 1644160896. Its totient is φ = 101068800.

The previous prime is 442364149. The next prime is 442364161. The reversal of 442364160 is 61463244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (442364161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 186985 + ... + 189335.

It is an arithmetic number, because the mean of its divisors is an integer number (7611856).

Almost surely, 2^442364160 is an apocalyptic number.

442364160 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 442364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822080448).

442364160 is an abundant number, since it is smaller than the sum of its proper divisors (1201796736).

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

442364160 is a wasteful number, since it uses less digits than its factorization.

442364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 442364160 is about 21032.4549209074. The cubic root of 442364160 is about 761.9503002147.

The spelling of 442364160 in words is "four hundred forty-two million, three hundred sixty-four thousand, one hundred sixty".