442250016 has 72 divisors (see below), whose sum is σ = 1257122160. Its totient is φ = 136071936.

The previous prime is 442249993. The next prime is 442250027. The reversal of 442250016 is 610052244.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2595 + ... + 29853.

It is an arithmetic number, because the mean of its divisors is an integer number (17460030).

Almost surely, 2^442250016 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 442250016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628561080).

442250016 is an abundant number, since it is smaller than the sum of its proper divisors (814872144).

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

442250016 is a wasteful number, since it uses less digits than its factorization.

442250016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27298 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 442250016 is about 21029.7412252267. The cubic root of 442250016 is about 761.8847587863.

The spelling of 442250016 in words is "four hundred forty-two million, two hundred fifty thousand, sixteen".