442478601 has 24 divisors (see below), whose sum is σ = 693247464. Its totient is φ = 270858240.

The previous prime is 442478591. The next prime is 442478639. The reversal of 442478601 is 106874244.

442478601 is a `hidden beast` number, since 4 + 4 + 2 + 47 + 8 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117614025 + 324864576 = 10845^2 + 18024^2 .

It is not a de Polignac number, because 442478601 - 2⁹ = 442478089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442478681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28996 + ... + 41541.

It is an arithmetic number, because the mean of its divisors is an integer number (28885311).

Almost surely, 2^442478601 is an apocalyptic number.

442478601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442478601 is a deficient number, since it is larger than the sum of its proper divisors (250768863).

442478601 is a wasteful number, since it uses less digits than its factorization.

442478601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70601 (or 70598 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442478601 is about 21035.1753261056. The cubic root of 442478601 is about 762.0160008627.

The spelling of 442478601 in words is "four hundred forty-two million, four hundred seventy-eight thousand, six hundred one".