441070560 has 576 divisors, whose sum is σ = 1886976000. Its totient is φ = 93477888.

The previous prime is 441070537. The next prime is 441070583. The reversal of 441070560 is 65070144.

It is an interprime number because it is at equal distance from previous prime (441070537) and next prime (441070583).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9384457 + ... + 9384503.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^441070560 is an apocalyptic number.

441070560 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 441070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

441070560 is an abundant number, since it is smaller than the sum of its proper divisors (1445905440).

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

441070560 is a wasteful number, since it uses less digits than its factorization.

441070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 441070560 is about 21001.6799328054. The cubic root of 441070560 is about 761.2068544710.

It can be divided in two parts, 4410 and 70560, that multiplied together give a square (311169600 = 17640²).

The spelling of 441070560 in words is "four hundred forty-one million, seventy thousand, five hundred sixty".