442624407 has 16 divisors (see below), whose sum is σ = 593526528. Its totient is φ = 293408960.

The previous prime is 442624373. The next prime is 442624409. The reversal of 442624407 is 704426244.

It is a cyclic number.

It is not a de Polignac number, because 442624407 - 2¹⁰ = 442623383 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442624409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785908 + ... + 786470.

It is an arithmetic number, because the mean of its divisors is an integer number (37095408).

Almost surely, 2^442624407 is an apocalyptic number.

442624407 is a deficient number, since it is larger than the sum of its proper divisors (150902121).

442624407 is a wasteful number, since it uses less digits than its factorization.

442624407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590.

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 442624407 is about 21038.6408068582. The cubic root of 442624407 is about 762.0996917674.

The spelling of 442624407 in words is "four hundred forty-two million, six hundred twenty-four thousand, four hundred seven".