441642528 has 36 divisors (see below), whose sum is σ = 1255921758. Its totient is φ = 147214080.

The previous prime is 441642521. The next prime is 441642547. The reversal of 441642528 is 825246144.

441642528 is a `hidden beast` number, since 4 + 4 + 1 + 642 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 441504144 + 138384 = 21012^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 441642492 and 441642501.

It is not an unprimeable number, because it can be changed into a prime (441642521) 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, 766453 + ... + 767028.

Almost surely, 2^441642528 is an apocalyptic number.

441642528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441642528 is an abundant number, since it is smaller than the sum of its proper divisors (814279230).

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

441642528 is a wasteful number, since it uses less digits than its factorization.

441642528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533497 (or 1533486 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 441642528 is about 21015.2927174475. The cubic root of 441642528 is about 761.5357496171.

The spelling of 441642528 in words is "four hundred forty-one million, six hundred forty-two thousand, five hundred twenty-eight".