442023120 has 720 divisors, whose sum is σ = 2024388288. Its totient is φ = 85155840.

The previous prime is 442023097. The next prime is 442023139. The reversal of 442023120 is 21320244.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×442023120² = 390768877229068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 442023093 and 442023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6597327 + ... + 6597393.

Almost surely, 2^442023120 is an apocalyptic number.

442023120 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 442023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012194144).

442023120 is an abundant number, since it is smaller than the sum of its proper divisors (1582365168).

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

442023120 is a wasteful number, since it uses less digits than its factorization.

442023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442023120 is about 21024.3458875657. The cubic root of 442023120 is about 761.7544417185.

Adding to 442023120 its reverse (21320244), we get a palindrome (463343364).

The spelling of 442023120 in words is "four hundred forty-two million, twenty-three thousand, one hundred twenty".