413301444 has 48 divisors (see below), whose sum is σ = 1008365568. Its totient is φ = 131506848.

The previous prime is 413301439. The next prime is 413301461. The reversal of 413301444 is 444103314.

It is a super-2 number, since 2×413301444² = 341636167224970272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166299 + ... + 168765.

It is an arithmetic number, because the mean of its divisors is an integer number (21007616).

Almost surely, 2^413301444 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 413301444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504182784).

413301444 is an abundant number, since it is smaller than the sum of its proper divisors (595064124).

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

413301444 is a wasteful number, since it uses less digits than its factorization.

413301444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 413301444 is about 20329.8166248493. The cubic root of 413301444 is about 744.8845632892.

Adding to 413301444 its reverse (444103314), we get a palindrome (857404758).

The spelling of 413301444 in words is "four hundred thirteen million, three hundred one thousand, four hundred forty-four".