442191960 has 384 divisors, whose sum is σ = 1746501120. Its totient is φ = 98537472.

The previous prime is 442191949. The next prime is 442191973. The reversal of 442191960 is 69191244.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 4558632 + ... + 4558728.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2^442191960 is an apocalyptic number.

442191960 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 442191960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873250560).

442191960 is an abundant number, since it is smaller than the sum of its proper divisors (1304309160).

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

442191960 is a wasteful number, since it uses less digits than its factorization.

442191960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 442191960 is about 21028.3608491009. The cubic root of 442191960 is about 761.8514187331.

The spelling of 442191960 in words is "four hundred forty-two million, one hundred ninety-one thousand, nine hundred sixty".