442649232 has 160 divisors (see below), whose sum is σ = 1349120000. Its totient is φ = 138568320.

The previous prime is 442649231. The next prime is 442649299. The reversal of 442649232 is 232946244.

442649232 is a `hidden beast` number, since 4 + 4 + 2 + 649 + 2 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442649231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633257 + ... + 1633527.

It is an arithmetic number, because the mean of its divisors is an integer number (8432000).

Almost surely, 2^442649232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442649232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674560000).

442649232 is an abundant number, since it is smaller than the sum of its proper divisors (906470768).

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

442649232 is a wasteful number, since it uses less digits than its factorization.

442649232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 442649232 is about 21039.2307844180. The cubic root of 442649232 is about 762.1139391901.

The spelling of 442649232 in words is "four hundred forty-two million, six hundred forty-nine thousand, two hundred thirty-two".