442661010 has 64 divisors (see below), whose sum is σ = 1187270784. Its totient is φ = 104691200.

The previous prime is 442661003. The next prime is 442661041. The reversal of 442661010 is 10166244.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 2829 + ... + 29888.

It is an arithmetic number, because the mean of its divisors is an integer number (18551106).

Almost surely, 2^442661010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442661010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593635392).

442661010 is an abundant number, since it is smaller than the sum of its proper divisors (744609774).

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

442661010 is a wasteful number, since it uses less digits than its factorization.

442661010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32779.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 442661010 is about 21039.5106882266. The cubic root of 442661010 is about 762.1206985666.

The spelling of 442661010 in words is "four hundred forty-two million, six hundred sixty-one thousand, ten".