442115077 has 8 divisors (see below), whose sum is σ = 446935032. Its totient is φ = 437304000.

The previous prime is 442115071. The next prime is 442115101. The reversal of 442115077 is 770511244.

It can be written as a sum of positive squares in 4 ways, for example, as 73513476 + 368601601 = 8574^2 + 19199^2 .

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 442115077 - 2¹⁹ = 441590789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442115071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159927 + ... + 162667.

It is an arithmetic number, because the mean of its divisors is an integer number (55866879).

Almost surely, 2^442115077 is an apocalyptic number.

It is an amenable number.

442115077 is a deficient number, since it is larger than the sum of its proper divisors (4819955).

442115077 is a wasteful number, since it uses less digits than its factorization.

442115077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439.

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 442115077 is about 21026.5326908647. The cubic root of 442115077 is about 761.8072623313.

The spelling of 442115077 in words is "four hundred forty-two million, one hundred fifteen thousand, seventy-seven".