442535121 has 36 divisors (see below), whose sum is σ = 745247412. Its totient is φ = 252310464.

The previous prime is 442535113. The next prime is 442535123. The reversal of 442535121 is 121535244.

442535121 is a `hidden beast` number, since 4 + 4 + 2 + 535 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 436601025 = 2436^2 + 20895^2 .

It is not a de Polignac number, because 442535121 - 2³ = 442535113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442535123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269515 + ... + 271151.

It is an arithmetic number, because the mean of its divisors is an integer number (20701317).

Almost surely, 2^442535121 is an apocalyptic number.

It is an amenable number.

442535121 is a deficient number, since it is larger than the sum of its proper divisors (302712291).

442535121 is a wasteful number, since it uses less digits than its factorization.

442535121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 442535121 is about 21036.5187471692. The cubic root of 442535121 is about 762.0484448502.

The spelling of 442535121 in words is "four hundred forty-two million, five hundred thirty-five thousand, one hundred twenty-one".