805948416 has 396 divisors, whose sum is σ = 2959568976. Its totient is φ = 205701120.

The previous prime is 805948411. The next prime is 805948453. The reversal of 805948416 is 614849508.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (805948411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25998321 + ... + 25998351.

Almost surely, 2^805948416 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 805948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479784488).

805948416 is an abundant number, since it is smaller than the sum of its proper divisors (2153620560).

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

805948416 is a wasteful number, since it uses less digits than its factorization.

805948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 805948416 is about 28389.2306341683. The cubic root of 805948416 is about 930.6129292851.

The spelling of 805948416 in words is "eight hundred five million, nine hundred forty-eight thousand, four hundred sixteen".