442261407 has 96 divisors (see below), whose sum is σ = 756332544. Its totient is φ = 228614400.

The previous prime is 442261387. The next prime is 442261429. The reversal of 442261407 is 704162244.

It is not a de Polignac number, because 442261407 - 2⁷ = 442261279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442261487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7250157 + ... + 7250217.

It is an arithmetic number, because the mean of its divisors is an integer number (7878464).

Almost surely, 2^442261407 is an apocalyptic number.

442261407 is a deficient number, since it is larger than the sum of its proper divisors (314071137).

442261407 is a wasteful number, since it uses less digits than its factorization.

442261407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 442261407 is about 21030.0120542048. The cubic root of 442261407 is about 761.8912999994.

The spelling of 442261407 in words is "four hundred forty-two million, two hundred sixty-one thousand, four hundred seven".