441604512 has 72 divisors (see below), whose sum is σ = 1329698916. Its totient is φ = 138541056.

The previous prime is 441604507. The next prime is 441604519. The reversal of 441604512 is 215406144.

441604512 is a `hidden beast` number, since 4 + 4 + 1 + 604 + 51 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427496976 + 14107536 = 20676^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (441604519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40203 + ... + 49994.

Almost surely, 2^441604512 is an apocalyptic number.

It is an amenable number.

441604512 is an abundant number, since it is smaller than the sum of its proper divisors (888094404).

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

441604512 is a wasteful number, since it uses less digits than its factorization.

441604512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90230 (or 90219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 441604512 is about 21014.3882137929. The cubic root of 441604512 is about 761.5138983295.

The spelling of 441604512 in words is "four hundred forty-one million, six hundred four thousand, five hundred twelve".