441230688 has 144 divisors (see below), whose sum is σ = 1314907776. Its totient is φ = 140175360.

The previous prime is 441230687. The next prime is 441230693. The reversal of 441230688 is 886032144.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441230687) 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, 651406 + ... + 652082.

It is an arithmetic number, because the mean of its divisors is an integer number (9131304).

Almost surely, 2^441230688 is an apocalyptic number.

441230688 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 441230688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657453888).

441230688 is an abundant number, since it is smaller than the sum of its proper divisors (873677088).

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

441230688 is a wasteful number, since it uses less digits than its factorization.

441230688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 441230688 is about 21005.4918533225. The cubic root of 441230688 is about 761.2989605078.

The spelling of 441230688 in words is "four hundred forty-one million, two hundred thirty thousand, six hundred eighty-eight".