807444414 has 144 divisors (see below), whose sum is σ = 2135218176. Its totient is φ = 215784000.

The previous prime is 807444389. The next prime is 807444487. The reversal of 807444414 is 414444708.

807444414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5347239 + ... + 5347389.

It is an arithmetic number, because the mean of its divisors is an integer number (14827904).

Almost surely, 2^807444414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807444414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067609088).

807444414 is an abundant number, since it is smaller than the sum of its proper divisors (1327773762).

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

807444414 is a wasteful number, since it uses less digits than its factorization.

807444414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 807444414 is about 28415.5664029419. The cubic root of 807444414 is about 931.1883732983.

It can be divided in two parts, 80744 and 4414, that added together give a palindrome (85158).

The spelling of 807444414 in words is "eight hundred seven million, four hundred forty-four thousand, four hundred fourteen".