444413000 has 64 divisors (see below), whose sum is σ = 1043143920. Its totient is φ = 177216000.

The previous prime is 444412987. The next prime is 444413071. The reversal of 444413000 is 314444.

It can be written as a sum of positive squares in 8 ways, for example, as 17825284 + 426587716 = 4222^2 + 20654^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520574 + ... + 521426.

Almost surely, 2^444413000 is an apocalyptic number.

444413000 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 444413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521571960).

444413000 is an abundant number, since it is smaller than the sum of its proper divisors (598730920).

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

444413000 is a wasteful number, since it uses less digits than its factorization.

444413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 444413000 is about 21081.1052841164. The cubic root of 444413000 is about 763.1248304927.

Adding to 444413000 its reverse (314444), we get a palindrome (444727444).

The spelling of 444413000 in words is "four hundred forty-four million, four hundred thirteen thousand".