441400608 has 144 divisors (see below), whose sum is σ = 1377020736. Its totient is φ = 133009920.

The previous prime is 441400607. The next prime is 441400621. The reversal of 441400608 is 806004144.

441400608 is a `hidden beast` number, since 44 + 14 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (441400601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877285 + ... + 877787.

It is an arithmetic number, because the mean of its divisors is an integer number (9562644).

Almost surely, 2^441400608 is an apocalyptic number.

441400608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441400608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688510368).

441400608 is an abundant number, since it is smaller than the sum of its proper divisors (935620128).

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

441400608 is a wasteful number, since it uses less digits than its factorization.

441400608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441400608 is about 21009.5361205335. The cubic root of 441400608 is about 761.3966745613.

The spelling of 441400608 in words is "four hundred forty-one million, four hundred thousand, six hundred eight".