441428970 has 64 divisors (see below), whose sum is σ = 1147893120. Its totient is φ = 108208128.

The previous prime is 441428969. The next prime is 441428993. The reversal of 441428970 is 79824144.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11866 + ... + 31994.

It is an arithmetic number, because the mean of its divisors is an integer number (17935830).

Almost surely, 2^441428970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441428970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573946560).

441428970 is an abundant number, since it is smaller than the sum of its proper divisors (706464150).

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

441428970 is a wasteful number, since it uses less digits than its factorization.

441428970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20199.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 441428970 is about 21010.2110888968. The cubic root of 441428970 is about 761.4129819471.

The spelling of 441428970 in words is "four hundred forty-one million, four hundred twenty-eight thousand, nine hundred seventy".