441970000 has 100 divisors (see below), whose sum is σ = 1080294820. Its totient is φ = 175104000.

The previous prime is 441969971. The next prime is 441970051. The reversal of 441970000 is 79144.

It can be written as a sum of positive squares in 10 ways, for example, as 290089024 + 151880976 = 17032^2 + 12324^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1929886 + ... + 1930114.

Almost surely, 2^441970000 is an apocalyptic number.

441970000 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 441970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540147410).

441970000 is an abundant number, since it is smaller than the sum of its proper divisors (638324820).

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

441970000 is a wasteful number, since it uses less digits than its factorization.

441970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 441970000 is about 21023.0825522805. The cubic root of 441970000 is about 761.7239259565.

The spelling of 441970000 in words is "four hundred forty-one million, nine hundred seventy thousand".