442114308 has 96 divisors (see below), whose sum is σ = 1224961920. Its totient is φ = 137410560.

The previous prime is 442114271. The next prime is 442114313. The reversal of 442114308 is 803411244.

It is a super-2 number, since 2×442114308² = 390930122676637728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 206403 + ... + 208533.

It is an arithmetic number, because the mean of its divisors is an integer number (12760020).

Almost surely, 2^442114308 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 442114308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612480960).

442114308 is an abundant number, since it is smaller than the sum of its proper divisors (782847612).

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

442114308 is a wasteful number, since it uses less digits than its factorization.

442114308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 442114308 is about 21026.5144044371. The cubic root of 442114308 is about 761.8068206438.

The spelling of 442114308 in words is "four hundred forty-two million, one hundred fourteen thousand, three hundred eight".