442210656 has 48 divisors (see below), whose sum is σ = 1167796224. Its totient is φ = 146515584.

The previous prime is 442210633. The next prime is 442210661. The reversal of 442210656 is 656012244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 29823.

It is an arithmetic number, because the mean of its divisors is an integer number (24329088).

Almost surely, 2^442210656 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 442210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583898112).

442210656 is an abundant number, since it is smaller than the sum of its proper divisors (725585568).

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

442210656 is a wasteful number, since it uses less digits than its factorization.

442210656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27763 (or 27755 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 442210656 is about 21028.8053868973. The cubic root of 442210656 is about 761.8621556790.

The spelling of 442210656 in words is "four hundred forty-two million, two hundred ten thousand, six hundred fifty-six".