441717120 has 384 divisors, whose sum is σ = 1744273440. Its totient is φ = 102039552.

The previous prime is 441717097. The next prime is 441717121. The reversal of 441717120 is 21717144.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×441717120² = 390228028202188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441717121) 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, 1272787 + ... + 1273133.

Almost surely, 2^441717120 is an apocalyptic number.

441717120 is a gapful number since it is divisible by the number (40) 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 441717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872136720).

441717120 is an abundant number, since it is smaller than the sum of its proper divisors (1302556320).

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

441717120 is a wasteful number, since it uses less digits than its factorization.

441717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 441717120 is about 21017.0673501324. The cubic root of 441717120 is about 761.5786208484.

The spelling of 441717120 in words is "four hundred forty-one million, seven hundred seventeen thousand, one hundred twenty".