442152576 has 48 divisors (see below), whose sum is σ = 1272343410. Its totient is φ = 147383808.

The previous prime is 442152539. The next prime is 442152577. The reversal of 442152576 is 675251244.

It is a happy number.

442152576 is a `hidden beast` number, since 44 + 21 + 525 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 369562176 + 72590400 = 19224^2 + 8520^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442152576.

It is not an unprimeable number, because it can be changed into a prime (442152577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190755 + ... + 193058.

Almost surely, 2^442152576 is an apocalyptic number.

It is an amenable number.

442152576 is an abundant number, since it is smaller than the sum of its proper divisors (830190834).

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

442152576 is a wasteful number, since it uses less digits than its factorization.

442152576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383833 (or 383818 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 442152576 is about 21027.4243786537. The cubic root of 442152576 is about 761.8287998633.

The spelling of 442152576 in words is "four hundred forty-two million, one hundred fifty-two thousand, five hundred seventy-six".