442735500 has 96 divisors (see below), whose sum is σ = 1313807040. Its totient is φ = 115814400.

The previous prime is 442735483. The next prime is 442735523. The reversal of 442735500 is 5537244.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 76716 + ... + 82284.

It is an arithmetic number, because the mean of its divisors is an integer number (13685490).

Almost surely, 2^442735500 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 442735500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656903520).

442735500 is an abundant number, since it is smaller than the sum of its proper divisors (871071540).

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

442735500 is a wasteful number, since it uses less digits than its factorization.

442735500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 442735500 is about 21041.2808545488. The cubic root of 442735500 is about 762.1634454884.

The spelling of 442735500 in words is "four hundred forty-two million, seven hundred thirty-five thousand, five hundred".