441166500 has 144 divisors (see below), whose sum is σ = 1443676416. Its totient is φ = 117612000.

The previous prime is 441166493. The next prime is 441166511. The reversal of 441166500 is 5661144.

441166500 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 6 + 650 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

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, 119685 + ... + 123315.

Almost surely, 2^441166500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721838208).

441166500 is an abundant number, since it is smaller than the sum of its proper divisors (1002509916).

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

441166500 is a wasteful number, since it uses less digits than its factorization.

441166500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 441166500 is about 21003.9639116049. The cubic root of 441166500 is about 761.2620420818.

The spelling of 441166500 in words is "four hundred forty-one million, one hundred sixty-six thousand, five hundred".