442824372 has 18 divisors (see below), whose sum is σ = 1119361698. Its totient is φ = 147608112.

The previous prime is 442824331. The next prime is 442824377. The reversal of 442824372 is 273428244.

442824372 is a `hidden beast` number, since 4 + 4 + 282 + 4 + 372 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339517476 + 103306896 = 18426^2 + 10164^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12300677 = 442824372 / (4 + 4 + 2 + 8 + 2 + 4 + 3 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442824377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6150303 + ... + 6150374.

It is an arithmetic number, because the mean of its divisors is an integer number (62186761).

Almost surely, 2^442824372 is an apocalyptic number.

It is an amenable number.

442824372 is an abundant number, since it is smaller than the sum of its proper divisors (676537326).

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

442824372 is a wasteful number, since it uses less digits than its factorization.

442824372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300687 (or 12300682 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 442824372 is about 21043.3925972026. The cubic root of 442824372 is about 762.2144394099.

The spelling of 442824372 in words is "four hundred forty-two million, eight hundred twenty-four thousand, three hundred seventy-two".