413788416 has 72 divisors (see below), whose sum is σ = 1111608960. Its totient is φ = 136636416.

The previous prime is 413788409. The next prime is 413788429. The reversal of 413788416 is 614887314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81241 + ... + 86183.

Almost surely, 2^413788416 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 413788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555804480).

413788416 is an abundant number, since it is smaller than the sum of its proper divisors (697820544).

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

413788416 is a wasteful number, since it uses less digits than its factorization.

413788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5057 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 413788416 is about 20341.7898917475. The cubic root of 413788416 is about 745.1770016203.

It can be divided in two parts, 41378 and 8416, that added together give a palindrome (49794).

The spelling of 413788416 in words is "four hundred thirteen million, seven hundred eighty-eight thousand, four hundred sixteen".