442485270 has 96 divisors (see below), whose sum is σ = 1208136384. Its totient is φ = 112147200.

The previous prime is 442485269. The next prime is 442485271. The reversal of 442485270 is 72584244.

It is an interprime number because it is at equal distance from previous prime (442485269) and next prime (442485271).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442485271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374080 + ... + 375260.

It is an arithmetic number, because the mean of its divisors is an integer number (12584754).

Almost surely, 2^442485270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442485270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604068192).

442485270 is an abundant number, since it is smaller than the sum of its proper divisors (765651114).

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

442485270 is a wasteful number, since it uses less digits than its factorization.

442485270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 442485270 is about 21035.3338456988. Note that the first 3 decimals coincide. The cubic root of 442485270 is about 762.0198291903.

The spelling of 442485270 in words is "four hundred forty-two million, four hundred eighty-five thousand, two hundred seventy".