442124505 has 12 divisors (see below), whose sum is σ = 766349220. Its totient is φ = 235799712.

The previous prime is 442124489. The next prime is 442124521. The reversal of 442124505 is 505421244.

It is an interprime number because it is at equal distance from previous prime (442124489) and next prime (442124521).

It can be written as a sum of positive squares in 2 ways, for example, as 149303961 + 292820544 = 12219^2 + 17112^2 .

It is not a de Polignac number, because 442124505 - 2⁴ = 442124489 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4912450 + ... + 4912539.

It is an arithmetic number, because the mean of its divisors is an integer number (63862435).

Almost surely, 2^442124505 is an apocalyptic number.

442124505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442124505 is a deficient number, since it is larger than the sum of its proper divisors (324224715).

442124505 is a wasteful number, since it uses less digits than its factorization.

442124505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825000 (or 9824997 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 442124505 is about 21026.7568826008. The cubic root of 442124505 is about 761.8126774130.

Adding to 442124505 its reverse (505421244), we get a palindrome (947545749).

The spelling of 442124505 in words is "four hundred forty-two million, one hundred twenty-four thousand, five hundred five".