442124100 has 432 divisors, whose sum is σ = 1667143296. Its totient is φ = 96768000.

The previous prime is 442124087. The next prime is 442124113. The reversal of 442124100 is 1421244.

442124100 is a `hidden beast` number, since 4 + 421 + 241 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442124087) and next prime (442124113).

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

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 143 ways as a sum of consecutive naturals, for example, 6227065 + ... + 6227135.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^442124100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

442124100 is an abundant number, since it is smaller than the sum of its proper divisors (1225019196).

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

442124100 is a wasteful number, since it uses less digits than its factorization.

442124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442124100 is about 21026.7472520121. The cubic root of 442124100 is about 761.8124447981.

Adding to 442124100 its reverse (1421244), we get a palindrome (443545344).

The spelling of 442124100 in words is "four hundred forty-two million, one hundred twenty-four thousand, one hundred".