442034120 has 128 divisors (see below), whose sum is σ = 1126742400. Its totient is φ = 154675200.

The previous prime is 442034113. The next prime is 442034147. The reversal of 442034120 is 21430244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442034092 and 442034101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1930166 + ... + 1930394.

It is an arithmetic number, because the mean of its divisors is an integer number (8802675).

Almost surely, 2^442034120 is an apocalyptic number.

442034120 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 442034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563371200).

442034120 is an abundant number, since it is smaller than the sum of its proper divisors (684708280).

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

442034120 is a wasteful number, since it uses less digits than its factorization.

442034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 442034120 is about 21024.6074874182. The cubic root of 442034120 is about 761.7607605655.

Adding to 442034120 its reverse (21430244), we get a palindrome (463464364).

The spelling of 442034120 in words is "four hundred forty-two million, thirty-four thousand, one hundred twenty".