444452040 has 96 divisors (see below), whose sum is σ = 1450009080. Its totient is φ = 118066176.

The previous prime is 444452033. The next prime is 444452059. The reversal of 444452040 is 40254444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 327682404 + 116769636 = 18102^2 + 10806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444451995 and 444452013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97492 + ... + 101948.

Almost surely, 2^444452040 is an apocalyptic number.

444452040 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 444452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725004540).

444452040 is an abundant number, since it is smaller than the sum of its proper divisors (1005557040).

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

444452040 is a wasteful number, since it uses less digits than its factorization.

444452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 444452040 is about 21082.0312114369. The cubic root of 444452040 is about 763.1471757144.

The spelling of 444452040 in words is "four hundred forty-four million, four hundred fifty-two thousand, forty".