413344512 has 144 divisors (see below), whose sum is σ = 1397114880. Its totient is φ = 118084608.

The previous prime is 413344489. The next prime is 413344513. The reversal of 413344512 is 215443314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413344513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44113 + ... + 52655.

Almost surely, 2^413344512 is an apocalyptic number.

413344512 is a gapful number since it is divisible by the number (42) 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 413344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698557440).

413344512 is an abundant number, since it is smaller than the sum of its proper divisors (983770368).

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

413344512 is an equidigital number, since it uses as much as digits as its factorization.

413344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8555 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 413344512 is about 20330.8758296341. The cubic root of 413344512 is about 744.9104359096.

Adding to 413344512 its reverse (215443314), we get a palindrome (628787826).

The spelling of 413344512 in words is "four hundred thirteen million, three hundred forty-four thousand, five hundred twelve".