442266330 has 128 divisors (see below), whose sum is σ = 1194310656. Its totient is φ = 103910400.

The previous prime is 442266329. The next prime is 442266353. The reversal of 442266330 is 33662244.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1835010 + ... + 1835250.

It is an arithmetic number, because the mean of its divisors is an integer number (9330552).

Almost surely, 2^442266330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442266330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597155328).

442266330 is an abundant number, since it is smaller than the sum of its proper divisors (752044326).

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

442266330 is a wasteful number, since it uses less digits than its factorization.

442266330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 442266330 is about 21030.1291008876. The cubic root of 442266330 is about 761.8941269677.

The spelling of 442266330 in words is "four hundred forty-two million, two hundred sixty-six thousand, three hundred thirty".