442014165 has 20 divisors (see below), whose sum is σ = 792352044. Its totient is φ = 235740672.

The previous prime is 442014149. The next prime is 442014191. The reversal of 442014165 is 561410244.

442014165 is a `hidden beast` number, since 44 + 201 + 416 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176943204 + 265070961 = 13302^2 + 16281^2 .

It is not a de Polignac number, because 442014165 - 2⁴ = 442014149 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 545292 + ... + 546101.

Almost surely, 2^442014165 is an apocalyptic number.

442014165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442014165 is a deficient number, since it is larger than the sum of its proper divisors (350337879).

442014165 is a wasteful number, since it uses less digits than its factorization.

442014165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091410 (or 1091401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 442014165 is about 21024.1329191004. The cubic root of 442014165 is about 761.7492975252.

The spelling of 442014165 in words is "four hundred forty-two million, fourteen thousand, one hundred sixty-five".