442220352 has 112 divisors (see below), whose sum is σ = 1352580480. Its totient is φ = 124895232.

The previous prime is 442220327. The next prime is 442220357. The reversal of 442220352 is 253022244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442220357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117768 + ... + 121464.

Almost surely, 2^442220352 is an apocalyptic number.

442220352 is a gapful number since it is divisible by the number (42) 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 442220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676290240).

442220352 is an abundant number, since it is smaller than the sum of its proper divisors (910360128).

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

442220352 is a wasteful number, since it uses less digits than its factorization.

442220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 442220352 is about 21029.0359265469. The cubic root of 442220352 is about 761.8677238860.

Adding to 442220352 its reverse (253022244), we get a palindrome (695242596).

The spelling of 442220352 in words is "four hundred forty-two million, two hundred twenty thousand, three hundred fifty-two".