442365313 has 8 divisors (see below), whose sum is σ = 504416808. Its totient is φ = 384317184.

The previous prime is 442365311. The next prime is 442365317. The reversal of 442365313 is 313563244.

It can be written as a sum of positive squares in 4 ways, for example, as 19158129 + 423207184 = 4377^2 + 20572^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442365313 - 2¹ = 442365311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442365311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000606 + ... + 1001047.

It is an arithmetic number, because the mean of its divisors is an integer number (63052101).

Almost surely, 2^442365313 is an apocalyptic number.

It is an amenable number.

442365313 is a deficient number, since it is larger than the sum of its proper divisors (62051495).

442365313 is a wasteful number, since it uses less digits than its factorization.

442365313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001683.

The product of its digits is 25920, while the sum is 31.

The square root of 442365313 is about 21032.4823309090. The cubic root of 442365313 is about 761.9509622092.

The spelling of 442365313 in words is "four hundred forty-two million, three hundred sixty-five thousand, three hundred thirteen".