441561960 has 192 divisors, whose sum is σ = 1653350400. Its totient is φ = 100113408.

The previous prime is 441561941. The next prime is 441561979. The reversal of 441561960 is 69165144.

441561960 is a `hidden beast` number, since 4 + 4 + 1 + 561 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (441561941) and next prime (441561979).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344601 + ... + 345879.

It is an arithmetic number, because the mean of its divisors is an integer number (8611200).

Almost surely, 2^441561960 is an apocalyptic number.

441561960 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 441561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826675200).

441561960 is an abundant number, since it is smaller than the sum of its proper divisors (1211788440).

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

441561960 is a wasteful number, since it uses less digits than its factorization.

441561960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 441561960 is about 21013.3757402279. The cubic root of 441561960 is about 761.4894382984.

The spelling of 441561960 in words is "four hundred forty-one million, five hundred sixty-one thousand, nine hundred sixty".