441609012 has 144 divisors (see below), whose sum is σ = 1263808000. Its totient is φ = 129081600.

The previous prime is 441608987. The next prime is 441609019. The reversal of 441609012 is 210906144.

441609012 is a `hidden beast` number, since 4 + 41 + 609 + 0 + 12 = 666.

It is a super-2 number, since 2×441609012² = 390037038959232288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441609019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884739 + ... + 885237.

Almost surely, 2^441609012 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 441609012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631904000).

441609012 is an abundant number, since it is smaller than the sum of its proper divisors (822198988).

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

441609012 is a wasteful number, since it uses less digits than its factorization.

441609012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 441609012 is about 21014.4952830183. The cubic root of 441609012 is about 761.5164849583.

The spelling of 441609012 in words is "four hundred forty-one million, six hundred nine thousand, twelve".