441272628 has 18 divisors (see below), whose sum is σ = 1115439234. Its totient is φ = 147090864.

The previous prime is 441272609. The next prime is 441272633. The reversal of 441272628 is 826272144.

441272628 is a `hidden beast` number, since 4 + 4 + 1 + 27 + 2 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406909584 + 34363044 = 20172^2 + 5862^2 .

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

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: 12257573 = 441272628 / (4 + 4 + 1 + 2 + 7 + 2 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 441272592 and 441272601.

It is a congruent number.

It is an unprimeable number.

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, 6128751 + ... + 6128822.

Almost surely, 2^441272628 is an apocalyptic number.

It is an amenable number.

441272628 is an abundant number, since it is smaller than the sum of its proper divisors (674166606).

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

441272628 is a wasteful number, since it uses less digits than its factorization.

441272628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12257583 (or 12257578 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 441272628 is about 21006.4901399544. The cubic root of 441272628 is about 761.3230808207.

The spelling of 441272628 in words is "four hundred forty-one million, two hundred seventy-two thousand, six hundred twenty-eight".