442224315 has 96 divisors (see below), whose sum is σ = 891596160. Its totient is φ = 200798208.

The previous prime is 442224311. The next prime is 442224317. The reversal of 442224315 is 513422244.

442224315 is a `hidden beast` number, since 4 + 4 + 222 + 431 + 5 = 666.

It is not a de Polignac number, because 442224315 - 2² = 442224311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442224311) 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, 526666 + ... + 527504.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^442224315 is an apocalyptic number.

442224315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442224315 is an abundant number, since it is smaller than the sum of its proper divisors (449371845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442224315 is a wasteful number, since it uses less digits than its factorization.

442224315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 442224315 is about 21029.1301531946. The cubic root of 442224315 is about 761.8699997294.

Adding to 442224315 its reverse (513422244), we get a palindrome (955646559).

The spelling of 442224315 in words is "four hundred forty-two million, two hundred twenty-four thousand, three hundred fifteen".