442775340 has 144 divisors (see below), whose sum is σ = 1547599872. Its totient is φ = 100372608.

The previous prime is 442775339. The next prime is 442775341. The reversal of 442775340 is 43577244.

442775340 is a `hidden beast` number, since 44 + 277 + 5 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (442775339) and next prime (442775341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442775295 and 442775304.

It is not an unprimeable number, because it can be changed into a prime (442775341) 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, 158637 + ... + 161403.

Almost surely, 2^442775340 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 442775340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773799936).

442775340 is an abundant number, since it is smaller than the sum of its proper divisors (1104824532).

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

442775340 is a wasteful number, since it uses less digits than its factorization.

442775340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 442775340 is about 21042.2275436799. The cubic root of 442775340 is about 762.1863061512.

The spelling of 442775340 in words is "four hundred forty-two million, seven hundred seventy-five thousand, three hundred forty".